Answer:
[tex]5 (x - 3)( {x}^{2} + 3x + 9)[/tex]
Step-by-step explanation:
[tex]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)[/tex]
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
5(x-3)(x^2+3x+9) is the answer.
