Solve (x-4/5)(x+3/4)

$$(x- \frac{ 4 }{ 5 } )(x+ \frac{ 3 }{ 4 } )$$

Evaluate

$$x^{2}-\frac{x}{20}-\frac{3}{5}$$

Solution Steps

Apply the distributive property by multiplying each term of x-\frac{4}{5} by each term of x+\frac{3}{4}.

$$x^{2}+x\times \frac{3}{4}-\frac{4}{5}x-\frac{4}{5}\times \frac{3}{4}$$

Combine x\times \frac{3}{4} and -\frac{4}{5}x to get -\frac{1}{20}x.

$$x^{2}-\frac{1}{20}x-\frac{4}{5}\times \frac{3}{4}$$

Multiply -\frac{4}{5} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$x^{2}-\frac{1}{20}x+\frac{-4\times 3}{5\times 4}$$

Do the multiplications in the fraction \frac{-4\times 3}{5\times 4}.

$$x^{2}-\frac{1}{20}x+\frac{-12}{20}$$

Reduce the fraction \frac{-12}{20} to lowest terms by extracting and canceling out 4.

$$x^{2}-\frac{1}{20}x-\frac{3}{5}$$

Expand

$$x^{2}-\frac{x}{20}-\frac{3}{5}$$

Solution Steps

Apply the distributive property by multiplying each term of x-\frac{4}{5} by each term of x+\frac{3}{4}.

$$x^{2}+x\times \frac{3}{4}-\frac{4}{5}x-\frac{4}{5}\times \frac{3}{4}$$

Combine x\times \frac{3}{4} and -\frac{4}{5}x to get -\frac{1}{20}x.

$$x^{2}-\frac{1}{20}x-\frac{4}{5}\times \frac{3}{4}$$

Multiply -\frac{4}{5} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$x^{2}-\frac{1}{20}x+\frac{-4\times 3}{5\times 4}$$

Do the multiplications in the fraction \frac{-4\times 3}{5\times 4}.

$$x^{2}-\frac{1}{20}x+\frac{-12}{20}$$

Reduce the fraction \frac{-12}{20} to lowest terms by extracting and canceling out 4.

$$x^{2}-\frac{1}{20}x-\frac{3}{5}$$