Factorize the following expression: x^2 - 4x- 45
Answers
Answered by
1
Answer:
Alternatively, complete the square to find:
x
2
−
4
x
−
45
=
(
x
−
2
)
2
−
7
2
=
(
x
−
2
−
7
)
(
x
−
2
+
7
)
=
(
x
−
9
)
(
x
+
5
)
Explanation:
x
2
−
4
x
−
45
=
x
2
−
4
x
+
4
−
4
−
45
=
(
x
−
2
)
2
−
49
=
(
x
−
2
)
2
−
7
2
This is a difference of squares, so we can use the identity:
a
2
−
b
2
=
(
a
−
b
)
(
a
+
b
)
Let
a
=
x
−
2
and
b
=
7
Then
(
x
−
2
)
2
−
7
2
=
(
x
−
2
−
7
)
(
x
−
2
+
7
)
=
(
x
−
9
)
(
x
+
5
)ok follow me ✌️ samile ✌
Answered by
2
Step-by-step explanation:
x= -5. or x= 9
this is the answer ......
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