Exxpand the from of the bracket root 3x -2y bracket
Answers
Answer:
When brackets contain fractions, we expand them in the same way we would if they contained only integers. The only difference is that we need to be able to perform basic arithmetic operations on fractions rather than just integers.
In general, to expand brackets, we multiply the expression inside the brackets by the expression outside of the brackets using the following rule of distribution:
a(b ± c) = ab ± ac
That is, we multiply the expression outside of the brackets by each term inside the brackets. When a, b, or c are fractions in the above formula, we need to be able to multiply fractions to expand the brackets. This can be done using the following rule for multiplying fractions:
a
b
×
c
d
=
a
×
c
b
×
d
That is, we multiply fractions by multiplying their numerators and multiplying their denominators.
To illustrate this, suppose we want to expand the following bracket:
1
2
(
x
+
3
4
)
First we use our rule to expand the brackets by multiplying
1
2
by each of the terms inside the brackets.
1
2
(
x
+
3
4
)
=
1
2
x
+
1
2
×
3
4
Now, we simplify by multiplying
1
2
by
3
4
in the expression using our rule for multiplying fractions.
1
2
x
+
1
2
×
3
4
=
1
2
x
+
1
×
3
2
×
4
=
1
2
x
+
3
8
All together, we have that
1
2
(
x
+
3
4
)
=
1
2
x
+
3
8
, and this illustrates how to expand brackets with fractions.