Solve 2(x-1/4)^2-1/8

$$2 ( x - \frac { 1 } { 4 } ) ^ { 2 } - \frac { 1 } { 8 }$$

Evaluate

$$x\left(2x-1\right)$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-\frac{1}{4}\right)^{2}.

$$2\left(x^{2}-\frac{1}{2}x+\frac{1}{16}\right)-\frac{1}{8}$$

Use the distributive property to multiply 2 by x^{2}-\frac{1}{2}x+\frac{1}{16}.

$$2x^{2}-x+\frac{1}{8}-\frac{1}{8}$$

Subtract \frac{1}{8} from \frac{1}{8} to get 0.

$$2x^{2}-x$$

Expand

$$2x^{2}-x$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-\frac{1}{4}\right)^{2}.

$$2\left(x^{2}-\frac{1}{2}x+\frac{1}{16}\right)-\frac{1}{8}$$

Use the distributive property to multiply 2 by x^{2}-\frac{1}{2}x+\frac{1}{16}.

$$2x^{2}-x+\frac{1}{8}-\frac{1}{8}$$

Subtract \frac{1}{8} from \frac{1}{8} to get 0.

$$2x^{2}-x$$