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Popular >

expand (3m+2n)^2

Solution

expand

(3 m + 2 n)^{2}

Solution

9 m^{2} + 12 mn + 4 n^{2}

Solution steps

(3 m + 2 n)^{2}

Apply Perfect Square Formula:

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

(3 m + 2 n)^{2} = (3 m)^{2} + 2 \cdot 3 m \cdot 2 n + (2 n)^{2}

= (3 m)^{2} + 2 \cdot 3 m \cdot 2 n + (2 n)^{2}

Simplify

(3 m)^{2} + 2 \cdot 3 m \cdot 2 n + (2 n)^{2} : 9 m^{2} + 12 mn + 4 n^{2}

= 9 m^{2} + 12 mn + 4 n^{2}

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Frequently Asked Questions (FAQ)

What is expand (3m+2n)^2 ?
The solution to expand (3m+2n)^2 is 9m^2+12mn+4n^2