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Popular >

expand (2+5n^2)^2

Solution

expand

(2 + 5 n^{2})^{2}

Solution

4 + 20 n^{2} + 25 n^{4}

Solution steps

(2 + 5 n^{2})^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

2^{2} + 2 \cdot 2 \cdot 5 n^{2} + (5 n^{2})^{2} : 4 + 20 n^{2} + 25 n^{4}

= 4 + 20 n^{2} + 25 n^{4}

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Frequently Asked Questions (FAQ)

What is expand (2+5n^2)^2 ?
The solution to expand (2+5n^2)^2 is 4+20n^2+25n^4