Question

a(y+z)³+b(y+z)⁴+c(y+z)² factories​

Answer 1

Answer:

(y+z)²[a(y+z)+b(y+z)²+c]

Step-by-step explanation:

a(y+z)³+b(y+z)⁴+c(y+z)²

= (y+z)²[a(y+z)+b(y+z)²+c]

Therefore,

a(y+z)³+b(y+z)⁴+c(y+z)²

a(y+z)³+b(y+z)⁴+c(y+z)²= (y+z)²[a(y+z)+b(y+z)²+c]

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Answer 2

Step-by-step explanation:

We need to factorize the given expression i.e.

a(y+z)³+b(y+z)⁴+c(y+z)²

Taking (y+z)² from all three places such that,

$a(y+z)^3+b(y+z)^4+c(y+z)^2=(y+z)^2[a(y+z)+b(y+z)^2+c]\\\\a(y+z)^3+b(y+z)^4+c(y+z)^2=(y+z)^2(ay+az+b(y^2+z^2+2yz)+c)\\\\=(y+z)^2(ay+az+by^2+bz^2+2byz+c)$

The above equation is the factors of the given expression.

Learn more,

Factorization

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