Question
Factor polynomial $$ 18x^{5}+15x^{4}y-75x^{3}y^{2} $$
Answer
$$ 18x^{5}+15x^{4}y-75x^{3}y^{2} = 3x^{3}(3x-5y)(2x+5y) $$
Explanation
Step 1 :
Factor out common factor $ \color{blue}{ 3x^3 } $:
$$ 18x^5+15x^4y-75x^3y^2 = 3x^3 ( 6x^2+5xy-25y^2 ) $$Step 2 :
$ 6x^2+5xy-25y^2 $ can be written as
$$ 6x^2+5xy-25y^2 = \left( 3x-5y \right) \left( 2x+5y \right)$$The explanation for this step cannot be generated.
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