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Popular >

expand (3x^2-1)^2

Solution

expand

(3 x^{2} - 1)^{2}

Solution

9 x^{4} - 6 x^{2} + 1

Solution steps

(3 x^{2} - 1)^{2}

Apply Perfect Square Formula:

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

(3 x^{2} - 1)^{2} = (3 x^{2})^{2} - 2 \cdot 3 x^{2} \cdot 1 + 1^{2}

= (3 x^{2})^{2} - 2 \cdot 3 x^{2} \cdot 1 + 1^{2}

Simplify

(3 x^{2})^{2} - 2 \cdot 3 x^{2} \cdot 1 + 1^{2} : 9 x^{4} - 6 x^{2} + 1

= 9 x^{4} - 6 x^{2} + 1

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Frequently Asked Questions (FAQ)

What is expand (3x^2-1)^2 ?
The solution to expand (3x^2-1)^2 is 9x^4-6x^2+1