Factorise the following.
(i) 4a2 + 20a +25
Tiini
22
Answers
Answered by
2
Answer:
(2a+5)(2a+5)
Step-by-step explanation:
i) 4a²+20a+25
= (2a)²+2(2a)(5)+(5)²
[using identity (a+b)²= a²+2ab+b²]
= (2a+5)²
= (2a+5)(2a+5)
Hope It Helps
Answered by
0
Answer:
Rewrite
4
a
2
as
(
2
a
)
2
.
(
2
a
)
2
+
20
a
+
25
Rewrite
25
as
5
2
.
(
2
a
)
2
+
20
a
+
5
2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
20
a
=
2
⋅
(
2
a
)
⋅
5
Rewrite the polynomial.
(
2
a
)
2
+
2
⋅
(
2
a
)
⋅
5
+
5
2
Factor using the perfect square trinomial rule
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2
, where
a
=
2
a
and
b
=
5
.
(
2
a
+
5
)
2
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