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Use the distributive property to factor the expression below.
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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.

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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


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