Solve (p-7/7)(p+5/8)

$$( p - \frac { 7 } { 7 } ) ( p + \frac { 5 } { 8 } )$$

Evaluate

$$p^{2}-\frac{3p}{8}-\frac{5}{8}$$

Solution Steps

Divide 7 by 7 to get 1.

$$\left(p-1\right)\left(p+\frac{5}{8}\right)$$

Apply the distributive property by multiplying each term of p-1 by each term of p+\frac{5}{8}.

$$p^{2}+p\times \frac{5}{8}-p-\frac{5}{8}$$

Combine p\times \frac{5}{8} and -p to get -\frac{3}{8}p.

$$p^{2}-\frac{3}{8}p-\frac{5}{8}$$

Expand

$$p^{2}-\frac{3p}{8}-\frac{5}{8}$$

Solution Steps

Divide 7 by 7 to get 1.

$$\left(p-1\right)\left(p+\frac{5}{8}\right)$$

Apply the distributive property by multiplying each term of p-1 by each term of p+\frac{5}{8}.

$$p^{2}+p\times \frac{5}{8}-p-\frac{5}{8}$$

Combine p\times \frac{5}{8} and -p to get -\frac{3}{8}p.

$$p^{2}-\frac{3}{8}p-\frac{5}{8}$$