Question

3. a. 3x/y + x²+x/xy =
b. 2p-3/6q - q/9p =

4. a. 3a/8 × 4b/a² =
b. 3pq/5 × 10p/6qr =

5. a. p⁴ r³/q² ÷ ( 2q/pr³ )₂ =
b. 30m⁴/8n² ÷ 5m⁵/n⁶ =

Answer 1

3a) 3x/y + x² + x/xy
= 3x²/xy + x³y/xy + x/xy
= (3x² + x³y + x)/xy
= x(3x + x²y + 1)/xy
= (3x + x²y + 1)/y
b) (2p - 3)/6q - q /9p
= 3p(2p - 3)/18pq - 2q²/18pq
= 6p² - 9 - 2q²
-----------------
18pq

4) 3a/8 × 4b/a²
=12ab / 8a²
= 3b/2a
b) 3pq/5 × 10p/6qr
= 30p²q
-----------
30qr
= p²/q

5) p⁴r³/q² : 2q / pr³
= p⁴r³/q² × pr³/2q
= p^5r^6
-------------
2q³
b) 30m⁴/8n² : 5m^5/n^6
= 30m⁴/8n² × n^6/5m^5
= 30m⁴n^6
--------------
40m^5n²
= 3n⁴ / 4m