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If a^2-b^2=10 and a-b=2 what is a+b?

 Jan 29, 2022
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We can use difference of squares for the first equation to get:

\((a+b)(a-b) = 10\)

 

Then we can substitute our second equation in to get:

\((a+b)(2)=10\)

 

Dividing both sides by 2, we get:

 

\(a+b = 5\)

 

 

smiley remember that \(a^2 - b^2\) can be factorized into \((a+b)(a-b)\)

 Jan 29, 2022

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