What is expand (2x^2-4y^5)^2 ?

The solution to expand (2x^2-4y^5)^2 is 4x^4-16x^2y^5+16y^{10}

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expand (2x^2-4y^5)^2

expand

(2 x^{2} - 4 y^{5})^{2}

4 x^{4} - 16 x^{2} y^{5} + 16 y^{10}

Solution steps

(2 x^{2} - 4 y^{5})^{2}

Apply Perfect Square Formula:

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

(2 x^{2} - 4 y^{5})^{2} = (2 x^{2})^{2} - 2 \cdot 2 x^{2} \cdot 4 y^{5} + (4 y^{5})^{2}

= (2 x^{2})^{2} - 2 \cdot 2 x^{2} \cdot 4 y^{5} + (4 y^{5})^{2}

Simplify

(2 x^{2})^{2} - 2 \cdot 2 x^{2} \cdot 4 y^{5} + (4 y^{5})^{2} : 4 x^{4} - 16 x^{2} y^{5} + 16 y^{10}

= 4 x^{4} - 16 x^{2} y^{5} + 16 y^{10}

(- 6) (- 2)

550

2 x - 2 y + 5 z - 2 x - y + 3 z

\frac{x - 2}{x ^{2} - x - 2}

(1 + a^{3})^{3}

What is expand (2x^2-4y^5)^2 ?
The solution to expand (2x^2-4y^5)^2 is 4x^4-16x^2y^5+16y^{10}