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31. - / 1 points expand and simplify. ((4y^3 + 3)^2)

Question

  1. - / 1 points expand and simplify. ((4y^3 + 3)^2)

Explanation:

Step1: Apply square of sum formula

Recall $(a+b)^2=a^2+2ab+b^2$, let $a=4y^3$, $b=3$.

Step2: Calculate each term

$a^2=(4y^3)^2=16y^6$, $2ab=2\times4y^3\times3=24y^3$, $b^2=3^2=9$.

Step3: Combine the terms

Add the calculated terms together.

Answer:

$16y^6 + 24y^3 + 9$