b+7b2+8b+7

Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is 7 and whose sum is 8.

1,7

Write the factored form using these integers.

b+7(b+1)(b+7)

b+7(b+1)(b+7)

Cancel the common factor.

b+7(b+1)(b+7)

Rewrite the expression.

1b+1

1b+1

Simplify (b+7)/(b^2+8b+7)