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Popular >

expand (9+4m)^2

Solution

expand

(9 + 4 m)^{2}

Solution

81 + 72 m + 16 m^{2}

Solution steps

(9 + 4 m)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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