Factorise the following a square + 6 a b + 9 B2
Answers
Answered by
0
a
2
−
6
a
b
+
9
b
2
Step-by-step explanation:
a
2
−
6
a
b
+
9
b
2
Rewrite
9
b
2
as
(
3
b
)
2
.
a
2
−
6
a
b
+
(
3
b
)
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
⋅
a
⋅
(
−
3
b
)
Simplify.
2
a
b
=
−
6
a
b
Factor using the perfect square trinomial rule
a
2
−
2
a
b
+
b
2
=
(
a
−
b
)
2
, where
a
=
a
and
b
=
−
3
b
.
(
a
−
3
b
)
2
Answered by
3
Answer:
a^2 +6ab +9b^2
a^2+3ab +3ab + 9b^2
a(a+3ab) + 3ab +9b^2
a(a+3b) + 3b(a +3b)
(a+3b) ( a+3b)
(a+3b)square.
I hope it helps you....
Step-by-step explanation:
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