Answer:
Other:
, 0.25
Whole Numbers: -20, -6
Natural Numbers: 532, 10, 0, 
Step-by-step explanation:
Natural numbers have to be positive whole numbers such as 10 and 0
Whole numbers are similar, but you can have negative numbers here. You just can't put fractions in there.
The 3rd section is a little odd, Integers don't use fractions or decimals, same as whole numbers. The fractions and decimal numbers would go outside of that section.
Extra note:
might be a tricky one because it is in fraction form but it is also written as 3. This means it is a natural number. The reason numbers such as
and 0.25 are not natural numbers is because they cannot be put as whole numbers.
Solution:
iv) Given equation: 
Since we are given two variables, we need to split the original expression into two quadratic expressions as

Factoring x first:

= 
= 

Factoring y now:

= 
= ![-1[ y(y+1) + 1(y+1)]](https://tex.z-dn.net/?f=-1%5B%20y%28y%2B1%29%20%2B%201%28y%2B1%29%5D)
= ![-1 [(y+1)(y+1)]](https://tex.z-dn.net/?f=-1%20%5B%28y%2B1%29%28y%2B1%29%5D)
= 
Therefore, the original expression becomes

Answer:
A
Step-by-step explanation:
The sequence of positive odd numbers is
1, 3, 5, 7, ......
This is an arithmetic sequence with common difference d
d = 3 - 1 = 5 - 3 = 7 - 5 = 2
The sum to n terms of an arithmetic sequence is
=
[2a + (n - 1)d ]
where a is the first term
here a = 1, d = 2, n = 12, hence
=
[1 + (11 × 2) ]
= 6 [ 2 + (11 × 2) ]
= 6 × 24 = 144 → A