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Popular >

expand (9m+4n)^2

Solution

expand

(9 m + 4 n)^{2}

Solution

81 m^{2} + 72 mn + 16 n^{2}

Solution steps

(9 m + 4 n)^{2}

Apply Perfect Square Formula:

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

(9 m + 4 n)^{2} = (9 m)^{2} + 2 \cdot 9 m \cdot 4 n + (4 n)^{2}

= (9 m)^{2} + 2 \cdot 9 m \cdot 4 n + (4 n)^{2}

Simplify

(9 m)^{2} + 2 \cdot 9 m \cdot 4 n + (4 n)^{2} : 81 m^{2} + 72 mn + 16 n^{2}

= 81 m^{2} + 72 mn + 16 n^{2}

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Frequently Asked Questions (FAQ)

What is expand (9m+4n)^2 ?
The solution to expand (9m+4n)^2 is 81m^2+72mn+16n^2