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Popular >

expand (x-1)(x-2)^2

Solution

expand

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

Solution

x^{3} - 5 x^{2} + 8 x - 4

Solution steps

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

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

Expand

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

= (x^{2} - 4 x + 4) (x - 1)

Distribute parentheses

= x^{2} x + x^{2} (- 1) - 4 xx - 4 x (- 1) + 4 x + 4 (- 1)

Simplify

x^{2} x + x^{2} (- 1) - 4 xx - 4 x (- 1) + 4 x + 4 (- 1) : x^{3} - 5 x^{2} + 8 x - 4

= x^{3} - 5 x^{2} + 8 x - 4

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Frequently Asked Questions (FAQ)

What is expand (x-1)(x-2)^2 ?
The solution to expand (x-1)(x-2)^2 is x^3-5x^2+8x-4