Factor polynomial $$ 2c^{2}-32d^{2} $$
Answer
$$ 2c^{2}-32d^{2} = 2(c+4d)(c-4d) $$
Explanation
Step 1 :
Factor out common factor $ \color{blue}{ 2 } $:
$$ 2c^2-32d^2 = 2 ( c^2-16d^2 ) $$Step 2 :
Rewrite $ c^2-16d^2 $ as:
$$ \color{blue}{ c^2-16d^2 = (c)^2 - (4d)^2 } $$Now we can apply the difference of squares formula.
$$ I^2 - II^2 = (I - II)(I + II) $$After putting $ I = c $ and $ II = 4d $ , we have:
$$ c^2-16d^2 = (c)^2 - (4d)^2 = ( c-4d ) ( c+4d ) $$This page was created using
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