Solve (1/3x-8)(1/4x+3)

$$( \frac { 1 } { 3 } x - 8 ) ( \frac { 1 } { 4 } x + 3 )$$

Evaluate

$$\frac{\left(x-24\right)\left(x+12\right)}{12}$$

Solution Steps

Apply the distributive property by multiplying each term of \frac{1}{3}x-8 by each term of \frac{1}{4}x+3.

$$\frac{1}{3}x\times \frac{1}{4}x+\frac{1}{3}x\times 3-8\times \frac{1}{4}x-24$$

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

$$\frac{1}{3}x^{2}\times \frac{1}{4}+\frac{1}{3}x\times 3-8\times \frac{1}{4}x-24$$

Multiply \frac{1}{3} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{3\times 4}x^{2}+\frac{1}{3}x\times 3-8\times \frac{1}{4}x-24$$

Do the multiplications in the fraction \frac{1\times 1}{3\times 4}.

$$\frac{1}{12}x^{2}+\frac{1}{3}x\times 3-8\times \frac{1}{4}x-24$$

Cancel out 3 and 3.

$$\frac{1}{12}x^{2}+x-8\times \frac{1}{4}x-24$$

Multiply -8 and \frac{1}{4} to get \frac{-8}{4}.

$$\frac{1}{12}x^{2}+x+\frac{-8}{4}x-24$$

Divide -8 by 4 to get -2.

$$\frac{1}{12}x^{2}+x-2x-24$$

Combine x and -2x to get -x.

$$\frac{1}{12}x^{2}-x-24$$

Expand

$$\frac{x^{2}}{12}-x-24$$

Solution Steps

Apply the distributive property by multiplying each term of \frac{1}{3}x-8 by each term of \frac{1}{4}x+3.

$$\frac{1}{3}x\times \frac{1}{4}x+\frac{1}{3}x\times 3-8\times \frac{1}{4}x-24$$

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

$$\frac{1}{3}x^{2}\times \frac{1}{4}+\frac{1}{3}x\times 3-8\times \frac{1}{4}x-24$$

Multiply \frac{1}{3} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{3\times 4}x^{2}+\frac{1}{3}x\times 3-8\times \frac{1}{4}x-24$$

Do the multiplications in the fraction \frac{1\times 1}{3\times 4}.

$$\frac{1}{12}x^{2}+\frac{1}{3}x\times 3-8\times \frac{1}{4}x-24$$

Cancel out 3 and 3.

$$\frac{1}{12}x^{2}+x-8\times \frac{1}{4}x-24$$

Multiply -8 and \frac{1}{4} to get \frac{-8}{4}.

$$\frac{1}{12}x^{2}+x+\frac{-8}{4}x-24$$

Divide -8 by 4 to get -2.

$$\frac{1}{12}x^{2}+x-2x-24$$

Combine x and -2x to get -x.

$$\frac{1}{12}x^{2}-x-24$$