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Popular >

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

Solution

expand

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

Solution

x^{6} - 2 x^{3} y^{2} + y^{4}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(x^{3})^{2} - 2 x^{3} y^{2} + (y^{2})^{2} : x^{6} - 2 x^{3} y^{2} + y^{4}

= x^{6} - 2 x^{3} y^{2} + y^{4}

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Frequently Asked Questions (FAQ)

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