Write the expression as a product:

64 - (b+1) ^2

(9 + b) (7 - b)

Step-by-step explanation:

Factoring by the difference of squares method, that is

a² - b² = (a + b) (a - b)

Note that 64 - (b + 1) ² ← is a difference of squares, that is

64 - (b + 1) ² = 8² - (b + 1) ²

with a = 8 and b = b + 1, hence

64 - (a + b) ² = (8 + b + 1) (8 - (b + 1)) = (9 + b) (7 - b)