Solve 15(x-1/5)(x+1/3)

$$15 ( x - \frac { 1 } { 5 } ) ( x + \frac { 1 } { 3 } )$$

Evaluate

$$\left(5x-1\right)\left(3x+1\right)$$

Solution Steps

Use the distributive property to multiply 15 by x-\frac{1}{5}.

$$\left(15x+15\left(-\frac{1}{5}\right)\right)\left(x+\frac{1}{3}\right)$$

Express 15\left(-\frac{1}{5}\right) as a single fraction.

$$\left(15x+\frac{15\left(-1\right)}{5}\right)\left(x+\frac{1}{3}\right)$$

Multiply 15 and -1 to get -15.

$$\left(15x+\frac{-15}{5}\right)\left(x+\frac{1}{3}\right)$$

Divide -15 by 5 to get -3.

$$\left(15x-3\right)\left(x+\frac{1}{3}\right)$$

Apply the distributive property by multiplying each term of 15x-3 by each term of x+\frac{1}{3}.

$$15x^{2}+15x\times \frac{1}{3}-3x-3\times \frac{1}{3}$$

Multiply 15 and \frac{1}{3} to get \frac{15}{3}.

$$15x^{2}+\frac{15}{3}x-3x-3\times \frac{1}{3}$$

Divide 15 by 3 to get 5.

$$15x^{2}+5x-3x-3\times \frac{1}{3}$$

Combine 5x and -3x to get 2x.

$$15x^{2}+2x-3\times \frac{1}{3}$$

Multiply -3 times \frac{1}{3}.

$$15x^{2}+2x-1$$

Expand

$$15x^{2}+2x-1$$

Solution Steps

Use the distributive property to multiply 15 by x-\frac{1}{5}.

$$\left(15x+15\left(-\frac{1}{5}\right)\right)\left(x+\frac{1}{3}\right)$$

Express 15\left(-\frac{1}{5}\right) as a single fraction.

$$\left(15x+\frac{15\left(-1\right)}{5}\right)\left(x+\frac{1}{3}\right)$$

Multiply 15 and -1 to get -15.

$$\left(15x+\frac{-15}{5}\right)\left(x+\frac{1}{3}\right)$$

Divide -15 by 5 to get -3.

$$\left(15x-3\right)\left(x+\frac{1}{3}\right)$$

Apply the distributive property by multiplying each term of 15x-3 by each term of x+\frac{1}{3}.

$$15x^{2}+15x\times \frac{1}{3}-3x-3\times \frac{1}{3}$$

Multiply 15 and \frac{1}{3} to get \frac{15}{3}.

$$15x^{2}+\frac{15}{3}x-3x-3\times \frac{1}{3}$$

Divide 15 by 3 to get 5.

$$15x^{2}+5x-3x-3\times \frac{1}{3}$$

Combine 5x and -3x to get 2x.

$$15x^{2}+2x-3\times \frac{1}{3}$$

Multiply -3 times \frac{1}{3}.

$$15x^{2}+2x-1$$