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Popular >

expand (x^3-3)^2

Solution

expand

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

Solution

x^{6} - 6 x^{3} + 9

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

= x^{6} - 6 x^{3} + 9

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Frequently Asked Questions (FAQ)

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