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How do you factor completely #49x^2 - 25y^2#?

1 Answer

Mar 28, 2018

#(7x-5y)(7x+5y)#

Explanation:

Given: #49x^2-25y^2#

Apply the identity: #a^2-b^2=(a-b)(a+b)#

Here, #a^2=49x^2,b^2=25y^2#

#:.a=sqrt(49x^2)=7x,b=sqrt(25y^2)=5y#

And so,

#49x^2-25y^2=(7x-5y)(7x+5y)#

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