Question

question
expand and state your answer as a polynomial in standard form.
$(2x^4 + y^5)^2$
answer attempt 1 out of 2
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Explanation:

Step1: Apply square of sum formula

Recall $(a+b)^2=a^2+2ab+b^2$, let $a=2x^4$, $b=y^5$.
$$(2x^4+y^5)^2=(2x^4)^2 + 2(2x^4)(y^5) + (y^5)^2$$

Step2: Simplify each term

Calculate powers and products.
$$(2x^4)^2=4x^8,\ 2(2x^4)(y^5)=4x^4y^5,\ (y^5)^2=y^{10}$$

Step3: Combine terms in standard form

Arrange by descending degree of $x$ (or standard polynomial order).
$$4x^8 + 4x^4y^5 + y^{10}$$

Answer:

$4x^8 + 4x^4y^5 + y^{10}$