Factor polynomial $$ y^{2}-49z^{2} $$
Answer
$$ y^{2}-49z^{2} = (y+7z)(y-7z) $$
Explanation
Rewrite $ y^2-49z^2 $ as:
$$ \color{blue}{ y^2-49z^2 = (y)^2 - (7z)^2 } $$Now we can apply the difference of squares formula.
$$ I^2 - II^2 = (I - II)(I + II) $$After putting $ I = y $ and $ II = 7z $ , we have:
$$ y^2-49z^2 = (y)^2 - (7z)^2 = ( y-7z ) ( y+7z ) $$This page was created using
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