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Popular >

expand (3x^2-3)^2

Solution

expand

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

Solution

9 x^{4} - 18 x^{2} + 9

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(3 x^{2})^{2} - 2 \cdot 3 x^{2} \cdot 3 + 3^{2} : 9 x^{4} - 18 x^{2} + 9

= 9 x^{4} - 18 x^{2} + 9

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Frequently Asked Questions (FAQ)

What is expand (3x^2-3)^2 ?
The solution to expand (3x^2-3)^2 is 9x^4-18x^2+9