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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

Expand

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

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

Distribute parentheses

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

Simplify

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

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

Popular Examples

simplify (-1/8)^{2/3}simplify

(- \frac{1}{8})^{\frac{2}{3}}

simplify (2y-1)/y+(2x-1)/x simplify

\frac{2 y - 1}{y} + \frac{2 x - 1}{x}

0 \div 6

simplify (x^2-5x+4)/(x-1)simplify

\frac{x ^{2} - 5 x + 4}{x - 1}

factor ab-b^2 factor

ab - b^{2}

Frequently Asked Questions (FAQ)

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