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Popular >

expand (2m+3n)^2

Solution

expand

(2 m + 3 n)^{2}

Solution

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

Solution steps

(2 m + 3 n)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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