Question

SIMPLIFY THE FOLLOWING EXPRESSIONS:


1.
4X
___
2X


2.
X+Y
___
2X+Y


3.
3(a-b)
____
a - b


4
5a+20
_____
5x-40


5
12x³y¹⁰z⁸
________
14x⁵y¹⁰z⁸​

Answer 1

Answer:

1. 2

2. 1 - $\frac{x}{2x + y}$

3. 3

4. $\frac{(a + 4)}{(x - 8)}$

5. $\frac{6}{7x^{2} }$

Step-by-step explanation:

1. $\frac{4x}{2x}$ = 2

2. $\frac{x + y}{2x + y}$ = $\frac{2x + y - x}{2x + y}$ = $\frac{2x + y}{2x + y} - \frac{x}{2x + y}$ = 1 - $\frac{x}{2x + y}$

3. $\frac{3(a - b)}{(a - b)}$ = 3

4. $\frac{5a + 20}{5x - 40}$ = $\frac{5(a + 4)}{5(x - 8)}$ = $\frac{(a + 4)}{(x - 8)}$

5. $\frac{12x^{3} y^{10} z^{8} }{14x^{5} y^{10} z^{8}}$ = $\frac{6}{7x^{2} }$