Question

simplify the given expression 19+4a/5b

Answer 1

Solution.
a) The key to simplifying 5
x
+
10
3
x
+
6
is in realising that we can switch the order of
the terms.
That is, we can write 5
x
+
10
3
x
+
6
=
5
x
3
x
+
10 + 6.
Note the way the + /
‘s remain part of each term.
Thus, 5
x
+
10
3
x
+
6
simplifies to give 2
x
+
16.
b) 3
x
2
+
5
x
+
12
2
x
2
10
x
+
3
is the same as 3
x
2
2
x
2
+
5
x
10
x
+
12 + 3 which
simplifies to give
x
2
5
x
+
15.
c) With the expression 3
ab
+ 2
a
2
+
2
ba
4
a
2
,
we note that the products
a
×
b
and
b
×
a
are in fact equal. {e.g. consider 2
×
3
and 3
×
2
both of which equal 6.}
Hence 3
ab
+ 2
a
2
+
2
ba
4
a
2
=
3
ab
+ 2
ab
+ 2
a
2
4
a
2
which equals 5
ab
2
a
2