Solve (x-15/2)^2-1/4

$$( x - \frac { 15 } { 2 } ) ^ { 2 } - \frac { 1 } { 4 }$$

Evaluate

$$\left(x-8\right)\left(x-7\right)$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-\frac{15}{2}\right)^{2}.

$$x^{2}-15x+\frac{225}{4}-\frac{1}{4}$$

Subtract \frac{1}{4} from \frac{225}{4} to get 56.

$$x^{2}-15x+56$$

Expand

$$x^{2}-15x+56$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-\frac{15}{2}\right)^{2}.

$$x^{2}-15x+\frac{225}{4}-\frac{1}{4}$$

Subtract \frac{1}{4} from \frac{225}{4} to get 56.

$$x^{2}-15x+56$$