Question

factorise 6xy-4y+6-9y

Answer 1

Factorise: 6xy - 4y + 6 - 9x

The given expression:

6xy - 4y + 6 - 9x

We have to find, the factorisation of the given expression.

Solution:

∴ 6xy - 4y + 6 - 9x

= 2·3xy - 2·2y + 2·3 - 3·3x

= 2y(3x - 2) - 3( - 2 + 3x)

= 2y(3x - 2) - 3(3x - 2)

= (3x - 2)(2y - 3)

∴ The factorisation of 6xy - 4y + 6 - 9x = (3x - 2)(2y - 3)

Thus, the factorisation of the given expression is "(3x - 2)(2y - 3)".

Answer 2

Given:

Given expression is, $6xy-4y+6-9y$.

To find:

We need to factorize the give expression.

Solution:

Before solving the question, we should know the meaning of the factorize.

Generally, factorization means converting given expression into factors.

We can factor any expression by using various method. The popular method is grouping method

Consider the given expression,

$\Rightarrow 6xy-4y+6-9y$

Writing the above expression in another way,

$\Rightarrow 2\times3xy - 2\times2y + 2\times3 - 3\times3x$

Taking some terms common,

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

Rearranging the terms,

$\Rightarrow 2y(3x - 2) - 3(3x - 2)$

Taking some terms common,

$\Rightarrow (2y - 3) (3x - 2)$

Therefore, the factored form of the given expression is equal to

$(2y - 3) (3x - 2)$.