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Popular >

expand x^3(x-2)^2

Solution

expand

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

Solution

x^{5} - 4 x^{4} + 4 x^{3}

Solution steps

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

Expand

(x - 2)^{2} : x^{2} - 4 x + 4

= x^{3} (x^{2} - 4 x + 4)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

x^{3} (x^{2} - 4 x + 4) = x^{3} x^{2} + x^{3} (- 4 x) + x^{3} \cdot 4

= x^{3} x^{2} + x^{3} (- 4 x) + x^{3} \cdot 4

Simplify

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

= x^{5} - 4 x^{4} + 4 x^{3}

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Frequently Asked Questions (FAQ)

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