What is expand (2z^3-5x^6)^2 ?

The solution to expand (2z^3-5x^6)^2 is 4z^6-20z^3x^6+25x^{12}

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expand (2z^3-5x^6)^2

expand

(2 z^{3} - 5 x^{6})^{2}

4 z^{6} - 20 z^{3} x^{6} + 25 x^{12}

Solution steps

(2 z^{3} - 5 x^{6})^{2}

Apply Perfect Square Formula:

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

(2 z^{3} - 5 x^{6})^{2} = (2 z^{3})^{2} - 2 \cdot 2 z^{3} \cdot 5 x^{6} + (5 x^{6})^{2}

= (2 z^{3})^{2} - 2 \cdot 2 z^{3} \cdot 5 x^{6} + (5 x^{6})^{2}

Simplify

(2 z^{3})^{2} - 2 \cdot 2 z^{3} \cdot 5 x^{6} + (5 x^{6})^{2} : 4 z^{6} - 20 z^{3} x^{6} + 25 x^{12}

= 4 z^{6} - 20 z^{3} x^{6} + 25 x^{12}

(n + 4) (n - 4)

b^{4} + b^{2} + 1

9^{2} + 7^{2}

\frac{7}{6} - 1

\frac{3 \cdot 1 0 ^{8}}{1.33}

What is expand (2z^3-5x^6)^2 ?
The solution to expand (2z^3-5x^6)^2 is 4z^6-20z^3x^6+25x^{12}