What is expand (8m^6+3n)^2 ?

The solution to expand (8m^6+3n)^2 is 64m^{12}+48m^6n+9n^2

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expand (8m^6+3n)^2

expand

(8 m^{6} + 3 n)^{2}

64 m^{12} + 48 m^{6} n + 9 n^{2}

Solution steps

(8 m^{6} + 3 n)^{2}

Apply Perfect Square Formula:

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

(8 m^{6} + 3 n)^{2} = (8 m^{6})^{2} + 2 \cdot 8 m^{6} \cdot 3 n + (3 n)^{2}

= (8 m^{6})^{2} + 2 \cdot 8 m^{6} \cdot 3 n + (3 n)^{2}

Simplify

(8 m^{6})^{2} + 2 \cdot 8 m^{6} \cdot 3 n + (3 n)^{2} : 64 m^{12} + 48 m^{6} n + 9 n^{2}

= 64 m^{12} + 48 m^{6} n + 9 n^{2}

(x - y)^{2} - (x + y)^{2}

3.14 \cdot 1 0^{2}

6 - 48 - 4 - 216

25 a^{4} + 54 a^{2} b^{2} + 49 b^{4}

40 + 25 x

What is expand (8m^6+3n)^2 ?
The solution to expand (8m^6+3n)^2 is 64m^{12}+48m^6n+9n^2