Notesale: Turn your study into money

Document Preview

Extracts from the notes are below, to see the PDF you'll receive please use the links above

---

04 - 17 - 23

ALGEBRA:
Subtraction
of
Algebraic
Expressions (Sample Problems & Solutions) Part 003
1
...


2
...

Solution:

�4 − 8� + 1 − 3�4 − 4 + 2�

Applying the distributive property, we have,
�4 − 8� + 1 − ��� − � + ��
�4 − 8� + 1 − ��� + � − ��

Simplifying further, we have,

�� − 8� + 1 − ��� + 4 − 2�
−��� − 8� + 1 + 4 − 2�
−2�4 − �� + 1 + 4 − ��
−2�4 − ��� + 1 + 4
−2�4 − 10� + � + �
−2�4 − 10� + �

Therefore, the difference is −��� − ��� + �
...
Find the difference of the following:
−6�2 − 3� + 2
...


4
...


5
...


�2 + 1 + �2 − 1

−

3�2 +

Solution:

�2 + 1 + �2 − 1 − 3�2 + � − � + �2

First, simplify the expressions inside the bracket and
parenthesis,
For the first bracket,
�� + � + �� − � − 3�2 + � − � + �2
�2 + � + �2 − � − 3�2 + � − � + �2
�2 + �2 + � − 3�2 + � − � + �2
�� + �� − 3�2 + � − � + �2
��� − 3�2 + � − � + �2

For the second bracket,
2�2 − 3�2 + � − � + �2

Applying the distributive property, we have,
2�2 − ��� + � − � + ��
2�2 − 3�2 + � − � + ��
2�2 − 3�2 + � − � − ��

Then, simplifying further, we have,

2�2 − ��� + � − � − ��
2�2 − ��� + � − �

2�2 − 2�2 + � − �
2�2 − 2�2 + �
2�2 − 2�2
0
Therefore, the result on simplifying the problem is 0

---