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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

Expand

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

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

Distribute parentheses

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

Simplify

1 \cdot 2 + 1 \cdot (- x) - 2 x \cdot 2 - 2 x (- x) + x^{2} \cdot 2 + x^{2} (- x) : 2 - 5 x + 4 x^{2} - x^{3}

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

Popular Examples

expand (x+2)(5x^2-3x-2)expand

(x + 2) (5 x^{2} - 3 x - 2)

\frac{1}{2} \div \frac{4}{5}

\frac{28}{16}

simplify 28/63 simplify

\frac{28}{63}

simplify (\frac{2a+2b)/(a^2+ab)}{4/a}simplify

\frac{\frac{2 a + 2 b}{a ^{2} + ab}}{\frac{4}{a}}

Frequently Asked Questions (FAQ)

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