Factorize: 3(x+2)^2 + 17(x+2) +10
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Answered by
0
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
=
3
⋅
10
=
30
and,
N
1
+
N
2
=
b
=
17
After trying out a few numbers we get
N
1
=
15
and
N
2
=
2
15
⋅
2
=
30
, and
15
+
2
=
17
3
x
2
+
17
x
+
10
=
3
x
2
+
15
x
+
2
x
+
10
=
3
x
(
x
+
5
)
+
2
(
x
+
5
)
(
3
x
+
2
)
(
x
+
5
)
- is the factorised form of the expression.
Answered by
0
Answer:
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