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Gnesinka [82]
2 years ago
6

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]2 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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