Question

Factor of 27-125a^3-135a+225a^2

Answer 1

$Given \: 27 -125a^{3}-135a+225a^{2} \\= 3^{3}-(5a)^{3}-3\times3^{2}\times (5a)+3\times 3\times (5a)^{2} \\= (3-5a)^{3}$

$\boxed {\pink {Since,x^{3}-y^{3}-3x^{2}y+3xy^{2}= (x-y)^{3}}}$

Therefore.,

$\red{ 27 -125a^{3}-135a+225a^{2}}\\\green {= (3-5a)(3-5a)(3-5a)}$

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Answer 2

(3-5a)(3-5a)(3-5a)

Step-by-step explanation:

Given:

$27-125a^3-135a+225a^2$

Find:

Factor of equation.

Computation:

$27-125a^3-135a+225a^2\\\\(3)^2-(5a)^2-3(3)^2(5a)+3(3)(5a)^2\\\\ We\ know\ that,\\(x-y)^3=x^3-y^3-3x^2y+3xy^2\\\\Therefore,\\x=3 and y =5a\\So,\\(3)^2-(5a)^2-3(3)^2(5a)+3(3)(5a)=(3-5a)^3\\\\(3-5a)(3-5a)(3-5a)$

Learn more:

https://brainly.in/question/15042023