PLEASE IT'S DUE SOON! I'll GIVE YOU THE BRAINLYEST Factor The Polynomial 25x^2(x+2)-9(x+2)?

Mathematics

1 answer:

Maksim231197 [3]3 years ago

7 0

Answer:

(x + 2) (5x + 3)(5x - 3)

Step-by-step explanation:

$25x^2(x+2)-9(x+2) \\ \\ = (x + 2)(25 {x}^{2} - 9) \\ \\ = (x + 2) \{ ({5x})^{2} - {(3)}^{2} \} \\ \\ = (x + 2) \{(5x + 3)(5x - 3) \}\\ \\ = \purple{ \bold{(x + 2) (5x + 3)(5x - 3) }} \\ are \: the \: required \: factors$

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