Question
Factor polynomial $$ -64x^{3}+x $$
Answer
$$ -64x^{3}+x = x( -8x+1 )( 8x+1 ) $$
Explanation
Step 1 :
After factoring out $ x $ we have:
$$ -64x^{3}+x = x ( -64x^{2}+1 ) $$Step 2 :
Rewrite $ -64x^{2}+1 $ as:
$$ -64x^{2}+1 = 1 -64x^2 = (1)^2 - (8x)^2 $$Now we can apply the difference of squares formula.
$$ I^2 - II^2 = (I - II)(I + II) $$After putting $ I = 1 $ and $ II = 8x $ , we have:
$$ -64x^{2}+1 = (1)^2 - (8x)^2 = ( -8x+1 ) ( 8x+1 ) $$This page was created using
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