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Popular >

expand (5n+8)^2

Solution

expand

(5 n + 8)^{2}

Solution

25 n^{2} + 80 n + 64

Solution steps

(5 n + 8)^{2}

Apply Perfect Square Formula:

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

(5 n + 8)^{2} = (5 n)^{2} + 2 \cdot 5 n \cdot 8 + 8^{2}

= (5 n)^{2} + 2 \cdot 5 n \cdot 8 + 8^{2}

Simplify

(5 n)^{2} + 2 \cdot 5 n \cdot 8 + 8^{2} : 25 n^{2} + 80 n + 64

= 25 n^{2} + 80 n + 64

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Frequently Asked Questions (FAQ)

What is expand (5n+8)^2 ?
The solution to expand (5n+8)^2 is 25n^2+80n+64