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

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

Evaluate

$$x^{2}+\frac{7x}{12}+\frac{1}{12}$$

Solution Steps

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

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

Combine x\times \frac{1}{4} and \frac{1}{3}x to get \frac{7}{12}x.

$$x^{2}+\frac{7}{12}x+\frac{1}{3}\times \frac{1}{4}$$

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

$$x^{2}+\frac{7}{12}x+\frac{1\times 1}{3\times 4}$$

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

$$x^{2}+\frac{7}{12}x+\frac{1}{12}$$

Expand

$$x^{2}+\frac{7x}{12}+\frac{1}{12}$$

Solution Steps

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

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

Combine x\times \frac{1}{4} and \frac{1}{3}x to get \frac{7}{12}x.

$$x^{2}+\frac{7}{12}x+\frac{1}{3}\times \frac{1}{4}$$

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

$$x^{2}+\frac{7}{12}x+\frac{1\times 1}{3\times 4}$$

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

$$x^{2}+\frac{7}{12}x+\frac{1}{12}$$