Factorise:- 4x^2-28xy+49y^2
Answers
Answered by
0
Answer:
Rewrite
4
x
2
as
(
2
x
)
2
.
(
2
x
)
2
+
28
x
y
+
49
y
2
Rewrite
49
y
2
as
(
7
y
)
2
.
(
2
x
)
2
+
28
x
y
+
(
7
y
)
2
Check the middle term by multiplying
2
a
b
and compare this result with the middle term in the original expression.
2
a
b
=
2
⋅
(
2
x
)
⋅
(
7
y
)
Simplify.
2
a
b
=
28
x
y
Factor using the perfect square trinomial rule
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2
, where
a
=
2
x
and
b
=
7
y
.
(
2
x
+
7
y
)
2
Step-by-step explanation:
Answered by
4
Answer:
(2x-7y)(2x-7y)
Step-by-step explanation:
4x²-28xy +49y²
=4x²-(14+14)xy +49y²
= 4x²- 14xy-14xy+49y²
=2x(2x-7y)-7y(2x-7y)
=(2x-7y)(2x-7y)
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