Solve (y-1/2)(y+3/4)

$$( y - \frac { 1 } { 2 } ) ( y + \frac { 3 } { 4 } )$$

Evaluate

$$y^{2}+\frac{y}{4}-\frac{3}{8}$$

Solution Steps

Apply the distributive property by multiplying each term of y-\frac{1}{2} by each term of y+\frac{3}{4}.

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

Combine y\times \frac{3}{4} and -\frac{1}{2}y to get \frac{1}{4}y.

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

Multiply -\frac{1}{2} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{-3}{2\times 4}.

$$y^{2}+\frac{1}{4}y+\frac{-3}{8}$$

Fraction \frac{-3}{8} can be rewritten as -\frac{3}{8} by extracting the negative sign.

$$y^{2}+\frac{1}{4}y-\frac{3}{8}$$

Expand

$$y^{2}+\frac{y}{4}-\frac{3}{8}$$

Solution Steps

Apply the distributive property by multiplying each term of y-\frac{1}{2} by each term of y+\frac{3}{4}.

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

Combine y\times \frac{3}{4} and -\frac{1}{2}y to get \frac{1}{4}y.

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

Multiply -\frac{1}{2} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{-3}{2\times 4}.

$$y^{2}+\frac{1}{4}y+\frac{-3}{8}$$

Fraction \frac{-3}{8} can be rewritten as -\frac{3}{8} by extracting the negative sign.

$$y^{2}+\frac{1}{4}y-\frac{3}{8}$$