SOLUTION: Factor the expression 4x^2- 20xy +25y^2 into a product of binomials. Please show your steps. When I worked it out .... I got a= 2 am I right? Thank you in advance...

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor the expression 4x^2- 20xy +25y^2 into a product of binomials. Please show your steps. When I worked it out .... I got a= 2 am I right? Thank you in advance...      Log On


   

Question 630636: Factor the expression 4x^2- 20xy +25y^2 into a product of binomials. Please show your steps.
When I worked it out ....
I got a= 2 am I right?
Thank you in advance...
Found 2 solutions by stanbon, dfrazzetto:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Factor the expression 4x^2- 20xy +25y^2 into a product of binomials.
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= (2x-5y)(2x-5y)
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Cheers,
Stan H.
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Answer by dfrazzetto(283) About Me  (Show Source):
You can put this solution on YOUR website!
4x^2- 20xy +25y^2
this is a perfect square trinomial
4x^2 = (2x)^2; 25y^2 = (5y)^2
Factoring:
4x^2- 20xy +25y^2
(2x - 5y)(2x - 5y) = (2x - 5y)^2
Check, expand the binomial squared (using FOIL):
(2x - 5y)(2x - 5y) = 4x^2 - 10xy - 10xy + 25y^2 = 4x^2- 20xy +25y^2