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Popular >

expand (x-1)^2(3-x)

Solution

expand

(x - 1)^{2} (3 - x)

Solution

- x^{3} + 5 x^{2} - 7 x + 3

Solution steps

(x - 1)^{2} (3 - x)

Expand

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

= (x^{2} - 2 x + 1) (3 - x)

Distribute parentheses

= x^{2} \cdot 3 + x^{2} (- x) - 2 x \cdot 3 - 2 x (- x) + 1 \cdot 3 + 1 \cdot (- x)

Simplify

x^{2} \cdot 3 + x^{2} (- x) - 2 x \cdot 3 - 2 x (- x) + 1 \cdot 3 + 1 \cdot (- x) : - x^{3} + 5 x^{2} - 7 x + 3

= - x^{3} + 5 x^{2} - 7 x + 3

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- 64 a^{2} + 169 b^{2}

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1.9 \cdot 1 0^{27}

Frequently Asked Questions (FAQ)

What is expand (x-1)^2(3-x) ?
The solution to expand (x-1)^2(3-x) is -x^3+5x^2-7x+3