Question
Factor polynomial $$ 2a^{2}+10a+10b-2b^{2} $$
Answer
$$ 2a^{2}+10a+10b-2b^{2} = 2(a-b+5)(a+b) $$
Explanation
Step 1 :
Factor out common factor $ \color{blue}{ 2 } $:
$$ 2a^2+10a+10b-2b^2 = 2 ( a^2+5a+5b-b^2 ) $$Step 2 :
$ a^2+5a+5b-b^2 $ can be written as
$$ a^2+5a+5b-b^2 = \left( a-b+5 \right) \left( a+b \right)$$The explanation for this step cannot be generated.
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