Factor polynomial $$ 8x^{5}-32x^{3} $$
Answer
$$ 8x^{5}-32x^{3} = 8x^{3}( x-2 )( x+2 ) $$
Explanation
Step 1 :
After factoring out $ 8x^{3} $ we have:
$$ 8x^{5}-32x^{3} = 8x^{3} ( x^{2}-4 ) $$Step 2 :
Rewrite $ x^{2}-4 $ as:
$$ x^{2}-4 = (x)^2 - (2)^2 $$Now we can apply the difference of squares formula.
$$ I^2 - II^2 = (I - II)(I + II) $$After putting $ I = x $ and $ II = 2 $ , we have:
$$ x^{2}-4 = (x)^2 - (2)^2 = ( x-2 ) ( x+2 ) $$This page was created using
Polynomial Factoring Calculator