(x + 10)(x − 8) = x 2 + 2x − 80
Answers
Answered by
1
Answer:
x^2+2x-80
Step-by-step explanation:
(x + 10)(x − 8) = x 2 + 2x − 80
x^2-8x+10x-80 = x 2 + 2x − 80
x 2 + 2x − 80 = x 2 + 2x − 80
LHS=RHS
Answered by
0
Answer:
(
x
+
8
)
(
x
−
10
)
(
x
+
8
)
(
x
−
10
)
is the factorised form of the expression
Explanation:
x
2
−
2
x
−
80
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
⋅
(
−
80
)
=
−
80
AND
N
1
+
N
2
=
b
=
−
2
After trying out a few numbers we get
N
1
=
−
10
and
N
2
=
8
8
⋅
(
−
10
)
=
−
80
, and
8
+
(
−
10
)
=
−
2
x
2
−
2
x
−
80
=
x
2
−
10
x
+
8
x
−
80
=
x
(
x
−
10
)
+
8
(
x
−
10
)
=
(
x
+
8
)
(
x
−
10
)
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