What is expand (9n+4m^3)^2 ?

The solution to expand (9n+4m^3)^2 is 81n^2+72nm^3+16m^6

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expand (9n+4m^3)^2

expand

(9 n + 4 m^{3})^{2}

81 n^{2} + 72 n m^{3} + 16 m^{6}

Solution steps

(9 n + 4 m^{3})^{2}

Apply Perfect Square Formula:

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

(9 n + 4 m^{3})^{2} = (9 n)^{2} + 2 \cdot 9 n \cdot 4 m^{3} + (4 m^{3})^{2}

= (9 n)^{2} + 2 \cdot 9 n \cdot 4 m^{3} + (4 m^{3})^{2}

Simplify

(9 n)^{2} + 2 \cdot 9 n \cdot 4 m^{3} + (4 m^{3})^{2} : 81 n^{2} + 72 n m^{3} + 16 m^{6}

= 81 n^{2} + 72 n m^{3} + 16 m^{6}

4 x^{2} - 36 x + 72

x (x - 2) (x - 1)

\frac{5}{5 3}

3 x^{2} - 3 x + 3

10 r - 5 r + 3 r - 8 r

What is expand (9n+4m^3)^2 ?
The solution to expand (9n+4m^3)^2 is 81n^2+72nm^3+16m^6