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harkovskaia [24]
2 years ago
8

- Which of the following is a factor of 5x3 - 135?

Mathematics
2 answers:
Marta_Voda [28]2 years ago
8 0

Answer:

5 (x - 3)( {x}^{2}  + 3x + 9)

Step-by-step explanation:

5 {x}^{3}  - 135 \\  \\  = 5 \{ {x}^{3}  - 27 \}\\  \\  = 5 \{ {x}^{3}  -  {(3)}^{3}  \}\\  \\  = 5 (x - 3)( {(x)}^{2}  + (x)(3) +  {(3)}^{2} )\\  \\  = 5 (x - 3)( {x}^{2}  + 3x + 9)

Aleksandr-060686 [28]2 years ago
5 0

Answer: If the question is asking to find the factor of 5x^3-135 then the answer is:
5(x-3)(x^2+3x+9)

Step-by-step explanation:

First, factor out the common term (x^3-27)

5(x^3-27)

Then, factor (x^3-27)

(x-3)(x^2+3x+3^2)

3^2 = 9

<u>5(x-3)(x^2+3x+9) is the answer.</u>

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