Solve 4/5(x-5)(x+1)

$$\frac { 4 } { 5 } ( x - 5 ) ( x + 1 )$$

Evaluate

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

Solution Steps

Use the distributive property to multiply \frac{4}{5} by x-5.

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

Express \frac{4}{5}\left(-5\right) as a single fraction.

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

Multiply 4 and -5 to get -20.

$$\left(\frac{4}{5}x+\frac{-20}{5}\right)\left(x+1\right)$$

Divide -20 by 5 to get -4.

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

Apply the distributive property by multiplying each term of \frac{4}{5}x-4 by each term of x+1.

$$\frac{4}{5}xx+\frac{4}{5}x-4x-4$$

Multiply x and x to get x^{2}.

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

Combine \frac{4}{5}x and -4x to get -\frac{16}{5}x.

$$\frac{4}{5}x^{2}-\frac{16}{5}x-4$$

Expand

$$\frac{4x^{2}}{5}-\frac{16x}{5}-4$$

Solution Steps

Use the distributive property to multiply \frac{4}{5} by x-5.

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

Express \frac{4}{5}\left(-5\right) as a single fraction.

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

Multiply 4 and -5 to get -20.

$$\left(\frac{4}{5}x+\frac{-20}{5}\right)\left(x+1\right)$$

Divide -20 by 5 to get -4.

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

Apply the distributive property by multiplying each term of \frac{4}{5}x-4 by each term of x+1.

$$\frac{4}{5}xx+\frac{4}{5}x-4x-4$$

Multiply x and x to get x^{2}.

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

Combine \frac{4}{5}x and -4x to get -\frac{16}{5}x.

$$\frac{4}{5}x^{2}-\frac{16}{5}x-4$$