Factor polynomial $$ 135s^{3}t-5000t $$
Answer
$$ 135s^{3}t-5000t = 5t(3s-10)(9s^{2}+30s+100) $$
Explanation
Step 1 :
Factor out common factor $ \color{blue}{ 5t } $:
$$ 135s^3t-5000t = 5t ( 27s^3-1000 ) $$Step 2 :
To factor $ 27s^{3}-1000 $ we can use difference of cubes formula:
$$ I^3 - II^3 = (I - II) (I^2 + I \cdot II + II^2) $$After putting $ I = 3s $ and $ II = 10 $ , we have:
$$ 27s^{3}-1000 = ( 3s-10 ) ( 9s^{2}+30s+100 ) $$This page was created using
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