ayuda como factorizar 4x² - 16x + 16 +5(x-2) (y+4) - 21(y+4)²
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Step-by-step explanation:
To factorize
a
x
2
+
b
x
+
c
, one should split middle term in two parts, so that their product is
a
c
and sum is
b
.
Hence in
4
x
2
−
16
x
+
15
, while the product should be
4
×
15
=
60
, sum should be
−
16
. It is apparent that these are
−
6
and
−
10
.
Hence
4
x
2
−
16
x
+
15
=
4
x
2
−
10
x
−
6
x
+
15
=
2
x
(
2
x
−
5
)
−
3
(
2
x
−
5
)
=
(
2
x
−
3
)
(
2
x
−
5
)
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