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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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