write as product of two factors 8x - 16 x square
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Answer:
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Step-by-step explanation:
Given:
x
2
−
8
x
+
16
.
We find two numbers, say
a
and
b
, such that
a
+
b
=
−
8
and
a
b
=
16
.
Mentally, I see that
a
=
b
=
−
4
. Checking,
(
−
4
)
+
(
−
4
)
=
−
8
,
−
4
⋅
−
4
=
16
.
Now, we split it into:
=
x
2
+
a
x
+
b
x
+
16
=
x
2
−
4
x
−
4
x
+
16
=
x
(
x
−
4
)
−
4
(
x
−
4
)
=
(
x
−
4
)
(
x
−
4
)
=
(
x
−
4
)
2
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