1.

Factorise the following x(square)-36/49​

Answer»

(
7
x
+
6
)
(
7
x
−
6
)
Explanation:
NOTE that
49
=
7
2
and
36
=
6
2
So we have
7
2
x
2
−
6
2
=
(
7
x
)
2
−
6
2
.
This is in the FORM
a
2
−
b
2
which can be FACTORED to
(
a
+
b
)
(
a
−
b
)
So here we have
a
=
7
x
and
b
=
6
, so that WOULD be
(
7
x
+
6
)
(
7
x
−
6
)


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