Question

Factor completely: 5ab + 3ay + 5b + 3y

(5b + 3y)(a + 1)

(5b − 3y)(a + 1)

(5b + 3y)(a − 1)

Prime

Answer 1

5ab + 3ay + 5b + 3y

a(5b + 3y) + 1(5b + 3y)

(a+1)(5b + 3y)

(5b + 3y)(a+1)

Answer 2

Simplifying
5ab + 3ay + 5b + 3y = 0

Solving
5ab + 3ay + 5b + 3y = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-5b' to each side of the equation.
5ab + 3ay + 5b + -5b + 3y = 0 + -5b

Combine like terms: 5b + -5b = 0
5ab + 3ay + 0 + 3y = 0 + -5b
5ab + 3ay + 3y = 0 + -5b
Remove the zero:
5ab + 3ay + 3y = -5b

Add '-3y' to each side of the equation.
5ab + 3ay + 3y + -3y = -5b + -3y

Combine like terms: 3y + -3y = 0
5ab + 3ay + 0 = -5b + -3y
5ab + 3ay = -5b + -3y

Reorder the terms:
5ab + 3ay + 5b + 3y = -5b + 5b + -3y + 3y

Combine like terms: -5b + 5b = 0
5ab + 3ay + 5b + 3y = 0 + -3y + 3y
5ab + 3ay + 5b + 3y = -3y + 3y

Combine like terms: -3y + 3y = 0
5ab + 3ay + 5b + 3y = 0