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