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Popular >

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

Solution

expand

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

Solution

x^{3} - 8 x^{2} + 21 x - 18

Solution steps

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

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

Expand

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

= (x^{2} - 6 x + 9) (x - 2)

Distribute parentheses

= x^{2} x + x^{2} (- 2) - 6 xx - 6 x (- 2) + 9 x + 9 (- 2)

Simplify

x^{2} x + x^{2} (- 2) - 6 xx - 6 x (- 2) + 9 x + 9 (- 2) : x^{3} - 8 x^{2} + 21 x - 18

= x^{3} - 8 x^{2} + 21 x - 18

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Frequently Asked Questions (FAQ)

What is expand (x-2)(x-3)^2 ?
The solution to expand (x-2)(x-3)^2 is x^3-8x^2+21x-18