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Popular >

expand (1+5n)^2

Solution

expand

(1 + 5 n)^{2}

Solution

1 + 10 n + 25 n^{2}

Solution steps

(1 + 5 n)^{2}

Apply Perfect Square Formula:

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

(1 + 5 n)^{2} = 1^{2} + 2 \cdot 1 \cdot 5 n + (5 n)^{2}

= 1^{2} + 2 \cdot 1 \cdot 5 n + (5 n)^{2}

Simplify

1^{2} + 2 \cdot 1 \cdot 5 n + (5 n)^{2} : 1 + 10 n + 25 n^{2}

= 1 + 10 n + 25 n^{2}

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Frequently Asked Questions (FAQ)

What is expand (1+5n)^2 ?
The solution to expand (1+5n)^2 is 1+10n+25n^2