. Factories (i)16 - (x2 + 4x + 4)
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Answer:
Explanation:
x
2
+
4
x
+
4
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
=
1
⋅
4
=
4
AND
N
1
+
N
2
=
b
=
4
After trying out a few numbers we get
N
1
=
2
and
N
2
=
2
2
⋅
2
=
4
, and
2
+
2
=
4
x
2
+
4
x
+
4
=
x
2
+
2
x
+
2
x
+
4
=
x
(
x
+
2
)
+
2
(
x
+
2
)
=
(
x
+
2
)
(
x
+
2
)
(
x
+
2
)
(
x
+
2
)
is the factorised form of the
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