d² –12d + 32 what is the factored form of the following expressions?
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d² –12d + 32 what is the factored form of the following expressions?
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d
−
4
)
(
d
−
8
)
is the factorised form of the expression.
Explanation:
d
2
−
12
d
+
32
We can Split the Middle Term of this expression to factorise it.
In this technique, if we have to factorise an expression like
a
d
2
+
b
d
+
c
, we need to think of 2 numbers such that:
N
1
⋅
N
2
=
a
⋅
c
=
1
⋅
32
=
32
AND
N
1
+
N
2
=
b
=
−
12
After trying out a few numbers we get
N
1
=
−
8
and
N
2
=
−
4
(
−
8
)
⋅
(
−
4
)
=
32
and
(
−
8
)
+
(
−
4
)
=
−
12
d
2
−
12
d
+
32
=
d
2
−
8
d
−
4
d
+
32
=
d
(
d
−
8
)
−
4
(
d
−
8
)
(
d
−
4
)
(
d
−
8
)
is the factorised form of the expression.