Question

Factorise: 6x² – 5x – 6 using middle term splitting method​

Answer 1

Answer:

We can Split the Middle Term of this expression to factorise it.

In this technique, if we have to factorise an expression like

a

x

2

+

b

x

+

c

, we need to think of 2 numbers such that:

N

1

⋅

N

2

=

a

⋅

c

=

6

⋅

(

−

6

)

=

−

36

and,

N

1

+

N

2

=

b

=

−

5

After trying out a few numbers we get

N

1

=

−

9

and

N

2

=

4

(

−

9

)

⋅

4

=

−

36

, and

−

9

+

4

=

−

5

6

x

2

−

5

x

−

6

=

6

x

2

−

9

x

+

4

x

−

6

=

3

x

(

2

x

−

3

)

+

2

(

2

x

−

3

)

(

2

x

−

3

)

is common to both the terms

(

3

x

+

2

)

(

2

x

−

3

)

is the factorised form

Answer 2

refer the Above picture

Step-by-step explanation:

(x-3 ) (3x-2)