Solve 1-1/4(3^2-2*1^2)

$$1 - \frac { 1 } { 4 } ( 3 ^ { 2 } - 2 \times 1 ^ { 2 } )$$

Evaluate

$$-\frac{3}{4}=-0.75$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$1-\frac{1}{4}\left(9-2\times 1^{2}\right)$$

Calculate 1 to the power of 2 and get 1.

$$1-\frac{1}{4}\left(9-2\times 1\right)$$

Multiply 2 and 1 to get 2.

$$1-\frac{1}{4}\left(9-2\right)$$

Subtract 2 from 9 to get 7.

$$1-\frac{1}{4}\times 7$$

Multiply \frac{1}{4} and 7 to get \frac{7}{4}.

$$1-\frac{7}{4}$$

Convert 1 to fraction \frac{4}{4}.

$$\frac{4}{4}-\frac{7}{4}$$

Since \frac{4}{4} and \frac{7}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-7}{4}$$

Subtract 7 from 4 to get -3.

$$-\frac{3}{4}$$

Factor

$$-\frac{3}{4} = -0.75$$