random kumon homework
How do i solve these two questions and why are their solving processes different (i think?)
1. 3x²(x-2y)²+ 3y²(x+2y)²
2. 4x(x+2y)² + 3y²(x+2y)
Are their solving processes different because of the exponent thingy (the ones in red because when i was doing my kumon i thought something was up with it and might be why i got it wrong)
but thats all i dont even know what this is i think its algebra 1 but idk.
![Ruklvr](https://matchmaticians.com/storage/user/105447/thumb/matchmaticians-uerptz-file-1-avatar-512.jpg)
2
1 Answer
1. Are you sure there is no typo? I don't think it can be factored. The correct form might be $3x²(x+2y)²+ 3y²(x+2y)²$. in that case
\[3x²(x+2y)²+ 3y²(x+2y)²=3(x+2y)^2(x^2+y^2).\]
2. The second expression can be factored as follows:
\[4x(x+2y)^2+ 3y^2(x+2y)=(x+2y)[4x(x+2y)+3y^2]=(x+2y)(4x^2+8xy+3y^2)\]
\[=(x+2y)(4x^2+8xy+4y^2-y^2)=(x+2y)[(2x+2y)^2-y^2]\]
\[=(x+2y) (2x+2y -y)(2x+2y+y)\]
\[=(x+2y)(2x+y)(2x+3y.)\]
![Savionf](https://matchmaticians.com/storage/user/100019/thumb/matchmaticians-3sehpu-file-1-avatar-512.jpg)
557
Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
- 1 Answer
- 209 views
- Pro Bono
Related Questions
- Algebra question
- Confused on this graph question, not sure how to reduce it to linear and It looks too wonky to draw a best fit line, probably won't take long
- Artin-Wedderburn isomorphism of $\mathbb{C}[S_3]$
- Prove that $A - B=A\cap B^c$
- Linearly independent vector subsets.
- Prove that $V={(𝑥_1,𝑥_2,⋯,𝑥_n) \in ℝ^n ∣ 𝑥_1+𝑥_2+...+𝑥_{𝑛−1}−2𝑥_𝑛=0}\}$ is a subspace of $\R^n$.
- Internal Rate of Return vs Discount Rate
- Find rational numbers A & B given the attached formula
What are the questions?
1. 3x²(x-2y)²+ 3y²(x+2y)² 2. 4x(x+2y)² + 3y²(x+2y) how do you like factorize them out thats what I'm doing in kumon i think