Solve 3/6-3x^2/6:2

$$\frac { 3 } { 6 } - \frac { 3 x ^ { 2 } } { 6 : 2 }$$

Evaluate

$$\frac{1}{2}-x^{2}$$

Solution Steps

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{1}{2}-\frac{3x^{2}}{\frac{6}{2}}$$

Divide 3x^{2} by \frac{6}{2} by multiplying 3x^{2} by the reciprocal of \frac{6}{2}.

$$\frac{1}{2}-\frac{3x^{2}\times 2}{6}$$

Multiply 3 and 2 to get 6.

$$\frac{1}{2}-\frac{6x^{2}}{6}$$

Cancel out 6 and 6.

$$\frac{1}{2}-x^{2}$$

Factor

$$\frac{1-2x^{2}}{2}$$

Solution Steps

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$factor(\frac{1}{2}-\frac{3x^{2}}{\frac{6}{2}})$$

Divide 3x^{2} by \frac{6}{2} by multiplying 3x^{2} by the reciprocal of \frac{6}{2}.

$$factor(\frac{1}{2}-\frac{3x^{2}\times 2}{6})$$

Multiply 3 and 2 to get 6.

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

Cancel out 6 and 6.

$$factor(\frac{1}{2}-x^{2})$$

Factor out \frac{1}{2}. Polynomial 1-2x^{2} is not factored since it does not have any rational roots.

$$\frac{1-2x^{2}}{2}$$