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Popular >

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

Solution

expand

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

Solution

x^{4} - 2 x^{5} + x^{6}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(x^{2})^{2} - 2 x^{2} x^{3} + (x^{3})^{2} : x^{4} - 2 x^{5} + x^{6}

= x^{4} - 2 x^{5} + x^{6}

Popular Examples

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x^{4} + 2 x^{3} - 3 x^{2} - 8 x - 4

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i^{2} + (- i)^{2}

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512 a^{3} - 27

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x^{2} - 21 x + 54

simplify b+4b-9b simplify

b + 4 b - 9 b

Frequently Asked Questions (FAQ)

What is expand (x^2-x^3)^2 ?
The solution to expand (x^2-x^3)^2 is x^4-2x^5+x^6