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Popular >

simplify 1/2 (x^2+1)-3/2 (x^2-1)

Solution

simplify

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

Solution

- x^{2} + 2

Solution steps

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

Expand

\frac{1}{2} (x^{2} + 1) : \frac{x ^{2}}{2} + \frac{1}{2}

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

Expand

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

= \frac{x ^{2}}{2} + \frac{1}{2} - \frac{3 x ^{2}}{2} + \frac{3}{2}

Join

\frac{x ^{2}}{2} + \frac{1}{2} - \frac{3 x ^{2}}{2} + \frac{3}{2} : - x^{2} + 2

= - x^{2} + 2

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Frequently Asked Questions (FAQ)

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