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Popular >

expand (9m+n^3)^2

Solution

expand

(9 m + n^{3})^{2}

Solution

81 m^{2} + 18 m n^{3} + n^{6}

Solution steps

(9 m + n^{3})^{2}

Apply Perfect Square Formula:

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

(9 m + n^{3})^{2} = (9 m)^{2} + 2 \cdot 9 m n^{3} + (n^{3})^{2}

= (9 m)^{2} + 2 \cdot 9 m n^{3} + (n^{3})^{2}

Simplify

(9 m)^{2} + 2 \cdot 9 m n^{3} + (n^{3})^{2} : 81 m^{2} + 18 m n^{3} + n^{6}

= 81 m^{2} + 18 m n^{3} + n^{6}

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Frequently Asked Questions (FAQ)

What is expand (9m+n^3)^2 ?
The solution to expand (9m+n^3)^2 is 81m^2+18mn^3+n^6