Question

Factoruze algebraic expression
(x+2)2- 6 ( x+2)+9​

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

+

c

, we need to think of 2 numbers such that:

N

1

⋅

N

2

=

a

⋅

c

=

1

⋅

9

=

9

AND

N

1

+

N

2

=

b

=

6

After trying out a few numbers we get

N

1

=

3

and

N

2

=

3

3

⋅

3

=

9

, and

3

+

3

=

6

x

2

+

6

x

+

9

=

x

2

+

3

x

+

3

x

+

9

=

x

(

x

+

3

)

+

3

(

x

+

3

)

=

(

x

+

3

)

(

x

+

3

)