Question
Factor polynomial $$ 16x^{2}-25y^{2} $$
Answer
$$ 16x^{2}-25y^{2} = (4x+5y)(4x-5y) $$
Explanation
Rewrite $ 16x^2-25y^2 $ as:
$$ \color{blue}{ 16x^2-25y^2 = (4x)^2 - (5y)^2 } $$Now we can apply the difference of squares formula.
$$ I^2 - II^2 = (I - II)(I + II) $$After putting $ I = 4x $ and $ II = 5y $ , we have:
$$ 16x^2-25y^2 = (4x)^2 - (5y)^2 = ( 4x-5y ) ( 4x+5y ) $$This page was created using
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