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QUESTION IMAGE

simplify the expression. $-3y^{4} + 4y^{2}left(y^{2} + 7y - 4 ight)$

Question

simplify the expression.
$-3y^{4} + 4y^{2}left(y^{2} + 7y - 4
ight)$

Explanation:

Step1: Distribute $4y^2$ to terms inside parentheses

$4y^2(y^2 + 7y - 4) = 4y^4 + 28y^3 - 16y^2$

Step2: Combine with the initial term

$-3y^4 + 4y^4 + 28y^3 - 16y^2$

Step3: Combine like terms

$(-3+4)y^4 + 28y^3 - 16y^2$

Answer:

$y^4 + 28y^3 - 16y^2$