Factorise: 6x² + 5xy – 6y² using middle term splitting method
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Algebra Examples
Popular Problems Algebra Factor 6x^2-5xy-6y^2
6
x
2
−
5
x
y
−
6
y
2
For a polynomial of the form
a
x
2
+
b
x
+
c
, rewrite the middle term as a sum of two terms whose product is
a
⋅
c
=
6
⋅
−
6
=
−
36
and whose sum is
b
=
−
5
.
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6
x
2
+
4
x
y
−
9
x
y
−
6
y
2
Factor out the greatest common factor from each group.
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2
x
(
3
x
+
2
y
)
−
3
y
(
3
x
+
2
y
)
Factor the polynomial by factoring out the greatest common factor,
3
x
+
2
y
.
(
3
x
+
2
y
)
(
2
x
−
3
y
)
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