3)Factorise: 4t2 + 28mt + 40m2
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Answer:
we are given:-
4
t
2
+
4
t
+
1
resembles
a
x
2
+
b
x
+
c
here
a
=
4
,
b
=
4
and
c
=
1
and since, sum we are given:-
4
t
2
+
4
t
+
1
resembles
a
x
2
+
b
x
+
c
here
a
=
4
,
b
=
4
and
c
=
1
and since, sum
=
b
,product
=
a
c
factors are the number which when you (multiply) and also when you (add) them give the same value for sum and product.
sum=4
product=4*1=4
factors=2 and 2
so
4
t
2
+
2
t
+
2
t
+
1
2
t
(
2
t
+
1
)
+
1
(
2
t
+
1
)
(
2
t
+
1
)
(
2
t
+
1
)
=
b
,product
=
a
c
factors are the number which when you (multiply) and also when you (add) them give the same value for sum and product.
sum=4
product=4*1=4
factors=2 and 2
so
4
t
2
+
2
t
+
2
t
+
1
2
t
(
2
t
+
1
)
+
1
(
2
t
+
1
)
(
2
t
+
1
)
(
2
t
+
1
)
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