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Popular >

expand (s^2+4p)^2

Solution

expand

(s^{2} + 4 p)^{2}

Solution

s^{4} + 8 s^{2} p + 16 p^{2}

Solution steps

(s^{2} + 4 p)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(s^{2} + 4 p)^{2} = (s^{2})^{2} + 2 s^{2} \cdot 4 p + (4 p)^{2}

= (s^{2})^{2} + 2 s^{2} \cdot 4 p + (4 p)^{2}

Simplify

(s^{2})^{2} + 2 s^{2} \cdot 4 p + (4 p)^{2} : s^{4} + 8 s^{2} p + 16 p^{2}

= s^{4} + 8 s^{2} p + 16 p^{2}

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Frequently Asked Questions (FAQ)

What is expand (s^2+4p)^2 ?
The solution to expand (s^2+4p)^2 is s^4+8s^2p+16p^2