What is expand (2a^6-6a^3)^2 ?

The solution to expand (2a^6-6a^3)^2 is 4a^{12}-24a^9+36a^6

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expand (2a^6-6a^3)^2

expand

(2 a^{6} - 6 a^{3})^{2}

4 a^{12} - 24 a^{9} + 36 a^{6}

Solution steps

(2 a^{6} - 6 a^{3})^{2}

Apply Perfect Square Formula:

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

(2 a^{6} - 6 a^{3})^{2} = (2 a^{6})^{2} - 2 \cdot 2 a^{6} \cdot 6 a^{3} + (6 a^{3})^{2}

= (2 a^{6})^{2} - 2 \cdot 2 a^{6} \cdot 6 a^{3} + (6 a^{3})^{2}

Simplify

(2 a^{6})^{2} - 2 \cdot 2 a^{6} \cdot 6 a^{3} + (6 a^{3})^{2} : 4 a^{12} - 24 a^{9} + 36 a^{6}

= 4 a^{12} - 24 a^{9} + 36 a^{6}

(\frac{a ^{4} x ^{y}}{c ^{k - 2}})^{b}

(x + 1) (x - 1) (x - 2)

20 a^{4} \cdot (\frac{1}{2} a^{3})^{2}

\frac{1}{1 + sin ( x )} + \frac{1}{1 - sin ( x )}

(y + 2)^{3}

What is expand (2a^6-6a^3)^2 ?
The solution to expand (2a^6-6a^3)^2 is 4a^{12}-24a^9+36a^6