Solve (x+1/7)(x-3/8)

$$( x + \frac { 1 } { 7 } ) ( x - \frac { 3 } { 8 } )$$

Evaluate

$$x^{2}-\frac{13x}{56}-\frac{3}{56}$$

Solution Steps

Apply the distributive property by multiplying each term of x+\frac{1}{7} by each term of x-\frac{3}{8}.

$$x^{2}+x\left(-\frac{3}{8}\right)+\frac{1}{7}x+\frac{1}{7}\left(-\frac{3}{8}\right)$$

Combine x\left(-\frac{3}{8}\right) and \frac{1}{7}x to get -\frac{13}{56}x.

$$x^{2}-\frac{13}{56}x+\frac{1}{7}\left(-\frac{3}{8}\right)$$

Multiply \frac{1}{7} times -\frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$x^{2}-\frac{13}{56}x+\frac{1\left(-3\right)}{7\times 8}$$

Do the multiplications in the fraction \frac{1\left(-3\right)}{7\times 8}.

$$x^{2}-\frac{13}{56}x+\frac{-3}{56}$$

Fraction \frac{-3}{56} can be rewritten as -\frac{3}{56} by extracting the negative sign.

$$x^{2}-\frac{13}{56}x-\frac{3}{56}$$

Expand

$$x^{2}-\frac{13x}{56}-\frac{3}{56}$$

Solution Steps

Apply the distributive property by multiplying each term of x+\frac{1}{7} by each term of x-\frac{3}{8}.

$$x^{2}+x\left(-\frac{3}{8}\right)+\frac{1}{7}x+\frac{1}{7}\left(-\frac{3}{8}\right)$$

Combine x\left(-\frac{3}{8}\right) and \frac{1}{7}x to get -\frac{13}{56}x.

$$x^{2}-\frac{13}{56}x+\frac{1}{7}\left(-\frac{3}{8}\right)$$

Multiply \frac{1}{7} times -\frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$x^{2}-\frac{13}{56}x+\frac{1\left(-3\right)}{7\times 8}$$

Do the multiplications in the fraction \frac{1\left(-3\right)}{7\times 8}.

$$x^{2}-\frac{13}{56}x+\frac{-3}{56}$$

Fraction \frac{-3}{56} can be rewritten as -\frac{3}{56} by extracting the negative sign.

$$x^{2}-\frac{13}{56}x-\frac{3}{56}$$