factorise the quadratic equation 3(2x-1)²+ 4(2x-1)-4=0
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Answer:
The given expression i of the form
a
2
−
b
2
Where
a
=
4
x
−
3
and
b
=
2
x
−
1
Now,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
Then,
(
4
x
−
3
)
2
−
(
2
x
−
1
)
2
=
0
⇒
(
4
x
−
3
+
2
x
−
1
)
{
4
x
−
3
−
(
2
x
−
1
)
}
=
0
⇒
(
6
x
−
4
)
(
4
x
−
3
−
2
x
+
1
)
=
0
⇒
(
6
x
−
4
)
(
2
x
−
2
)
=
0
6
x
−
4
=
0
or
2
x
−
2
=
0
6
x
=
4
or
2
x
=
2
x
=
4
6
or
x
=
2
2
x
=
2
3
or
x
=
1
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