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Popular >

simplify 6(1-x-(1-x^2)/2)

Solution

simplify

6 (1 - x - \frac{1 - x ^{2}}{2})

Solution

3 x^{2} - 6 x + 3

Solution steps

6 (1 - x - \frac{1 - x ^{2}}{2})

Join

1 - x - \frac{1 - x ^{2}}{2} : \frac{x ^{2} - 2 x + 1}{2}

= 6 \cdot \frac{x ^{2} - 2 x + 1}{2}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{6 ( x ^{2} - 2 x + 1 )}{2}

Divide the numbers:

\frac{6}{2} = 3

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

Expand

3 (x^{2} - 2 x + 1) : 3 x^{2} - 6 x + 3

= 3 x^{2} - 6 x + 3

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Frequently Asked Questions (FAQ)

What is 6(1-x-(1-x^2)/2) ?
The solution to 6(1-x-(1-x^2)/2) is 3x^2-6x+3