1. x
3
+
x
2
Cross multiply because
what you do to the bottom
you have to do to the top.
2x +3x
3× 2
=
5x
6
5
t +1
+
4
t −3
=
5(t −3)+ 4(t +1)
(t +1)(t −3)
=
5t −15+ 4t + 4
(t +1)(t −3)
5t + 4t −15+ 4
i.e. Negative 15 +4=11
=9t −11
=
9t −11
(t +1)(t −3)
Algebraic
Fractions
–
Examples

2. 4
y+1
−
5
y+ 2
4(y+ 2)− 5(y+1)
(y+1)(y+ 2)
4y+8− 5y − 5
(y+1)(y+ 2)
−y+3
(y+1)(y+ 2)
7
4x
+
2
5xy
7(5y)+ 2(4)
20xy
You don't make the x, x2
because
it is a common factor. Or you could
write it like this: x(4× 5× y), which
becomes 20 × y × x =20xy
Answer =
35y+8
20xy