Factor polynomial $$ 196a^{2}-b^{2} $$
Answer
$$ 196a^{2}-b^{2} = (14a+b)(14a-b) $$
Explanation
Rewrite $ 196a^2-b^2 $ as:
$$ \color{blue}{ 196a^2-b^2 = (14a)^2 - (b)^2 } $$Now we can apply the difference of squares formula.
$$ I^2 - II^2 = (I - II)(I + II) $$After putting $ I = 14a $ and $ II = b $ , we have:
$$ 196a^2-b^2 = (14a)^2 - (b)^2 = ( 14a-b ) ( 14a+b ) $$This page was created using
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