# Use the distributive property to factor the expression below.

by skylar
(indiana)

Factor the expression shown below

-15x²y² + 25xy²

To factor this expression, reverse the distributive law of algebra.

The distributive law states that you can multiply the sum of two addends by a third number by multiplying each addend with the third number separately and then adding the products.

a * (b + c) = a * b + a * c

### Comments for Use the distributive property to factor the expression below.

 Apr 01, 2011 Factoring Using the Distributive Property by: Staff The question: by Skylar (Indiana) Use the distributive property to factor the expression below -15x²y² + 25xy² The answer: The distributive property can be stated as follows: a * (b + c) = a * b + a * c To factor your expression, reverse the process: a * b + a * c = a * (b + c) -15x²y² + 25xy² = 5xy² * (-3x) + 5xy² * 5 = 5xy² * (-3x + 5) = 5xy²(-3x + 5) The final answer is: 5xy²(-3x + 5) Thanks for writing. Staff www.solving-math-problems.com