What is expand (2x^2-3y^2)^2 ?

The solution to expand (2x^2-3y^2)^2 is 4x^4-12x^2y^2+9y^4

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expand (2x^2-3y^2)^2

expand

(2 x^{2} - 3 y^{2})^{2}

4 x^{4} - 12 x^{2} y^{2} + 9 y^{4}

Solution steps

(2 x^{2} - 3 y^{2})^{2}

Apply Perfect Square Formula:

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

(2 x^{2} - 3 y^{2})^{2} = (2 x^{2})^{2} - 2 \cdot 2 x^{2} \cdot 3 y^{2} + (3 y^{2})^{2}

= (2 x^{2})^{2} - 2 \cdot 2 x^{2} \cdot 3 y^{2} + (3 y^{2})^{2}

Simplify

(2 x^{2})^{2} - 2 \cdot 2 x^{2} \cdot 3 y^{2} + (3 y^{2})^{2} : 4 x^{4} - 12 x^{2} y^{2} + 9 y^{4}

= 4 x^{4} - 12 x^{2} y^{2} + 9 y^{4}

- 3 \cdot - 8

(4) (- 2)

(4) (- 3)

∣ 11 ∣

a (2 a^{2} - a - 4) - a (a - 3) 2 a

What is expand (2x^2-3y^2)^2 ?
The solution to expand (2x^2-3y^2)^2 is 4x^4-12x^2y^2+9y^4