Question

Factor: 3y(x – 3) -2(x – 3).

(a) (x – 3)(x – 3),

(b) (x – 3)2,

(c) (x – 3)(3y – 2),

(d) 3y(x – 3).​

Answer 1

Answer:

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your answer is here !

option (C) is right answer !

Step-by-step explanation:

3y(x – 3) -2(x – 3).

= (x – 3)(3y – 2).

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Answer 2

Answer:

$\Huge \boxed{(x-3)(3y-2)}$

Step-by-step explanation:

To solve this problem, first you have to find the factor of $\displaystyle 3y(x-3)-2(x-3)$. Remember to solve this problem, use distributive property of $\displaystyle a(b+c)=ab+ac$.

First, expand the form to use distributive property.

$\displaystyle 3y(x-3)=3yx-9y$

$\displaystyle 3yx-9y-2(x-3)$

Expand again.

$\displaystyle -2(x-3)=-2x+6$

$\displaystyle 3yx-9y-2x+6$

Factor it out by the -2.

$\displaystyle (-2x+6)=-2(x-3)$

Then, factor it out by the 3y.

$\displaystyle 3yx-9y=3y(x-3)$

Rewrite the problem down.

$\displaystyle -2(x-3)+3y(x-3)$

Now, factor it out by the common term of x-3.

$\large\boxed{\textnormal{Therefore, the answer is \boxed{\textnormal{C. (x-3)(3y-2)}}}}}$