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

The solution to expand (2x^2-5y)^2 is 4x^4-20x^2y+25y^2

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

expand

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

4 x^{4} - 20 x^{2} y + 25 y^{2}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(2 x^{2})^{2} - 2 \cdot 2 x^{2} \cdot 5 y + (5 y)^{2} : 4 x^{4} - 20 x^{2} y + 25 y^{2}

= 4 x^{4} - 20 x^{2} y + 25 y^{2}

(- 2 x^{2} + 4 x - 10) - (9 x^{2} - 10 x + 1)

4 x^{2} - 5 x - 9

(x + 4 y)^{2}

ln ((3 x)^{2 x}) + (9 x^{2} + 2)^{3}

- - 99

What is expand (2x^2-5y)^2 ?
The solution to expand (2x^2-5y)^2 is 4x^4-20x^2y+25y^2