what are the factor of 4x²-20xy+25y²
Answers
Answered by
0
Answer:
(2x-5y)(2x-5y).
Explanation:
4
x
2
−
20
x
y
+
25
y
2
=
4
x
2
−
10
x
y
−
10
x
y
+
25
y
2
=
2
x
(
2
x
−
5
y
)
−
5
y
(
2
x
−
5
y
)
=
(
2
x
−
5
y
)
(
2
x
−
5
y
)
Answer link
KillerBunny
Oct 15, 2015
4
x
2
+
20
x
y
+
25
y
2
=
(
2
x
+
5
y
)
2
Explanation:
Use the formula for the square of a binomial:
(
a
+
b
)
2
=
a
2
+
2
a
b
+
b
2
.
Both
4
and
25
, the coefficient of
x
2
and
y
2
, are perfect squares. This makes us think that the whole expression could be a perfect square:
4
is
2
2
, and
25
is
5
2
. So, our claim is that
4
x
2
−
20
x
y
+
25
y
2
is
(
2
x
−
5
y
)
2
. Is it true? The only term to verify is
−
20
x
y
, and it is indeed twice the product of
2
x
and
−
5
y
. So, the conjecture was right.
Answered by
1
(2x - 5y) (2x - 5y)
It was easy
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