Question

Factorising 15xy (x - 3y) - 3y (x - 3y)
gives
(A) 3y (x - 3y) (x - 1)
(B) 3y (x - 3y) (5x - 1)
(C) y (x - 3y) (5x - 3)
(D) 3 (x - 3y) (5x - 3)​

Answer 1

Answer:

(B) 3y (x - 3y) (5x - 1) is the correct answer.

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Answer 2

Factorising 15xy(x - 3y) - 3y(x - 3y) gives 3y(x - 3y)(5x - 1)

Given :

The expression 15xy(x - 3y) - 3y(x - 3y)

To find :

Factorising 15xy(x - 3y) - 3y(x - 3y) gives

(A) 3y(x - 3y)(x - 1)

(B) 3y(x - 3y)(5x - 1)

(C) y(x - 3y)(5x - 3)

(D) 3(x - 3y)(5x - 3)

Solution :

Step 1 of 2 :

Write down the given expression

Here the given expression is 15xy(x - 3y) - 3y(x - 3y)

Step 2 of 2 :

Factorise the expression

$\displaystyle \sf 15xy(x - 3y) - 3y(x - 3y)$

$\displaystyle \sf = (x - 3y)(15xy - 3y)$

$\displaystyle \sf = (x - 3y)3y(5x - 1)$

$\displaystyle \sf = 3y(x - 3y)(5x - 1)$

Hence the correct option is (B) 3y(x - 3y)(5x - 1)

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