Solve +(x-1)(x-1/4)=

$$+ ( x - 1 ) ( x - \frac { 1 } { 4 } ) =$$

Evaluate

$$x^{2}-\frac{5x}{4}+\frac{1}{4}$$

Solution Steps

Apply the distributive property by multiplying each term of x-1 by each term of x-\frac{1}{4}.

$$x^{2}+x\left(-\frac{1}{4}\right)-x-\left(-\frac{1}{4}\right)$$

Combine x\left(-\frac{1}{4}\right) and -x to get -\frac{5}{4}x.

$$x^{2}-\frac{5}{4}x-\left(-\frac{1}{4}\right)$$

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

$$x^{2}-\frac{5}{4}x+\frac{1}{4}$$

Expand

$$x^{2}-\frac{5x}{4}+\frac{1}{4}$$

Solution Steps

Apply the distributive property by multiplying each term of x-1 by each term of x-\frac{1}{4}.

$$x^{2}+x\left(-\frac{1}{4}\right)-x-\left(-\frac{1}{4}\right)$$

Combine x\left(-\frac{1}{4}\right) and -x to get -\frac{5}{4}x.

$$x^{2}-\frac{5}{4}x-\left(-\frac{1}{4}\right)$$

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

$$x^{2}-\frac{5}{4}x+\frac{1}{4}$$