factorise 4x^2+28xy+49y^2
Answers
Answered by
2
Step-by-step explanation:
Enter a problem...
Algebra Examples
Popular Problems Algebra Factor 4x^2+28xy+49y^2
4
x
2
+
28
x
y
+
49
y
2
4x2+28xy+49y2
Rewrite
4
x
2
4x2 as
(
2
x
)
2
(2x)2.
(
2
x
)
2
+
28
x
y
+
49
y
2
(2x)2+28xy+49y2
Rewrite
49
y
2
49y2 as
(
7
y
)
2
(7y)2.
(
2
x
)
2
+
28
x
y
+
(
7
y
)
2
(2x)2+28xy+(7y)2
Check the middle term by multiplying
2
a
b
2ab and compare this result with the middle term in the original expression.
2
a
b
=
2
⋅
(
2
x
)
⋅
(
7
y
)
2ab=2⋅(2x)⋅(7y)
Simplify.
2
a
b
=
28
x
y
2ab=28xy
Factor using the perfect square trinomial rule
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2
a2+2ab+b2=(a+b)2, where
a
=
2
x
a=2x and
b
=
7
y
b=7y.
(
2
x
+
7
y
)
2
(2x+7y)2
Similar questions