Poorly Explained Story
Uhm, skibidi
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I mean, technically it is a story but it's poorly written 😃
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So erm, pls don't laugh 😃🤩
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And why the hell do I need 150 words
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One, two, three, four, five, six, seven, eight, nine, ten
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I'm gonna talk about math so deal with me
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This is grade 8 math oki 🤩 Becuase I'm lazy to read my notes from my current grade right now
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Anyways, this is from hat I remember
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Anyways, polynomials are like, algebra with terms. It consists of uhm, coefficients, variables, exponent, constants and of course operations
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So like, there is 3 types of polynomials
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Monomial - 1 term
Binomial - 2 term (Because the term bi is 2, like bilingual (idk chat))
and Trinomial - 3 terms
You can also count Trinomial as a Polunoliam because "poly" means many in idk language (Like poly couples idk, I learnt it from Boyfriends in Webtoon)
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So uhm, even if I got the word minimum
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Continue about yapping math
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Idk how many factoring techniques there is but I remember... 3 or 4 😃
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First one is Common Monomial Factoring
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So example is:
6y² + 24y⁵
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You first need to find, the GCF
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The GCF (Greatest Common Factorial??) is erm, what is the biggest number you have that you can multiply
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Since 6 and 24 can be divided by 6, you write
GCF = 6
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But wait ✋️ There's more
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They both have "y" in those terms rayt?
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You have to find the least there
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So, what is less, y² or y⁵?
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If you answered y², you're right 🤩
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So, since you identified the less variable
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The GCF for 6y² and 24y⁵ is 6y²
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Then you go to the fun part
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You have to divide both terms by the GCF
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So 6y² divided by 6y² is??
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Correct 🤩 the answer is 1
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Because you can just cancel both 6y², so you get 1
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So, 24y⁵ divided by 6y²
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The rule in the exponent thingy is you just subtract them
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So you remember the parenthesis right??
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So, you put all answers and you should get it like this
6y²(1 + 4y³)
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If you don't get it
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There's always youtube ok 👍🏼
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Just search "Common Monomial Factoring"
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There are plenty of tutorials there
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Btw, the genre is fanfic anime because.. I can't find the genre I was looking for ;-;
Difference of Two Squares
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Part 2 of the math tutorial 🌚
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So, bases on da title
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That's the second type of factoring that I remember
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So, example is
16x² - 9x²
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So, what you do is find the square root of both terms
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Square root of 16x² is??
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Yas gurl 🤩 it's 4x
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And Square root of 9x² is 🫰
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So, now you got square root
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You put two parenthesis
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Then, since you found the square root of first and second term
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(4x - 3x)(4x + 3x)
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That should be the output
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The formula is layk
A² - B² = (A - B)(A + B)
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So, now we finished
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Let's move to the third type of factoring
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Which is
Factoring Sum and Difference of Cubes
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A³ + B³ = (A + B)(A² - AB + B²)
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A³ - B³ = (A - B)(A² + AB + B²)
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The only difference is the signs changed
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On the "A² AB" part
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All you have to do is switch the operations
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On the sum, you can see it's minus sign
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While on the difference, you can see it uses addition sign
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And on the first parenthesis
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All you have to do is copy the operation from da equation
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So, let's start with sum
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If
A³ = 27x³
B³ = 125y³
What is A and B?
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Correct 🤩 The answer is
A = 3x
B = 5y
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So, now that you identified A and B
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Let's do the formula
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A³ + B³ = (A + B)(A² - AB + B²)
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On the A² part, you just got to times the 3x by itself
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And the AB part, you multiply A and B
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(3x + 5y)(6x² - 15xy + 25y²)
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Did you get the correct answer 🤩🙌
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This is like uhm, the dofference
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(3x - 5y)(6x² + 15xy + 25y²)
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That's should be it
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But, I'm gonna show you a different scenario
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See, different exponent na
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So, if
A³ = x⁶
B³ = 64y⁹
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Basically, all you have to do is divide the exponent ls by 3
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So, 6 divided by 3 is 2, while 9 divided by 3 is 3
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So we get
A = x²
B = 4y³
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You just multiply the A and By by themselves
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So
A² = x⁴
B² = 16x⁶
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And you multiply A and B for the middle part
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So
x² × 4y³ is 4x²y³
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So if you're gonna mix it all up using this formula
A³ - B³ = (A - B)(A² + AB + B²)
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You should get
(x² - 4y³)(x⁴ + 4x²y³ + 16y⁶)
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Taht should be the final answer
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So next time, we're gonna be talking about Trinomials and Factoring by Grouping
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