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Popular >

expand (x-2)^2(2x-6)

Solution

expand

(x - 2)^{2} (2 x - 6)

Solution

2 x^{3} - 14 x^{2} + 32 x - 24

Solution steps

(x - 2)^{2} (2 x - 6)

Expand

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

= (x^{2} - 4 x + 4) (2 x - 6)

Distribute parentheses

= x^{2} \cdot 2 x + x^{2} (- 6) - 4 x \cdot 2 x - 4 x (- 6) + 4 \cdot 2 x + 4 (- 6)

Simplify

x^{2} \cdot 2 x + x^{2} (- 6) - 4 x \cdot 2 x - 4 x (- 6) + 4 \cdot 2 x + 4 (- 6) : 2 x^{3} - 14 x^{2} + 32 x - 24

= 2 x^{3} - 14 x^{2} + 32 x - 24

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Frequently Asked Questions (FAQ)

What is expand (x-2)^2(2x-6) ?
The solution to expand (x-2)^2(2x-6) is 2x^3-14x^2+32x-24