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Which of the following expressions factors completely to 3(x + 5)²?

A. 3x² + 25
B. x² + 10x + 25
C. 3² + 75
D. 3x² + 30x + 75

Respuesta :

Answer:

solution

here;

answer D

Step-by-step explanation:

  • 3(x2+10x+25)

  • 3(x^2 +2×5×x +25)
  • 3(x+5)^2
answer: 3x^2+30x+75 (choice D)

explanation: so 3(x+5)^2. distribute the power to both of the variable and number in the parenthesis. that will equal to 3(x^2+10x+25). now multiple the expression in the parenthesis, and you will get 3x^2+30x+75.
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