Advertisements
Advertisements
Question
Subtract:
\[\frac{ab}{7} - \frac{35}{3}bc + \frac{6}{5}ac \text { from } \frac{3}{5}bc - \frac{4}{5}ac\]
Advertisements
Solution
\[ \left( \frac{3}{5}bc - \frac{4}{5}ac \right) - \left( \frac{ab}{7} - \frac{35}{3}bc + \frac{6}{5}ac \right)\]
\[ = \frac{3}{5}bc - \frac{4}{5}ac - \frac{ab}{7} + \frac{35}{3}bc - \frac{6}{5}ac\]
\[ = \frac{3}{5}bc + \frac{35}{3}bc - \frac{4}{5}ac - \frac{6}{5}ac - \frac{ab}{7} (\text { Collecting like terms })\]
\[ = \frac{184}{15}bc - 2ac - \frac{ab}{7} (\text { Combining like terms })\]
APPEARS IN
RELATED QUESTIONS
Simplify combining like terms: p − (p − q) − q − (q − p)
Add: 3mn, − 5mn, 8mn, −4mn
Subtract: - 5y2 from y2
From the sum of 4 + 3x and 5 - 4x + 2x2, subtract the sum of 3x2 - 5x and -x2 + 2x + 5.
If x is a natural number, then x + 1 is its predecessor
Simplify: n + (m + 1) + (n + 2) + (m + 3) + (n + 4) + (m + 5)
Find the expression to be added with 5a – 3b – 2c to get a – 4b – 2c?
Add:
xy2z2 + 3x2y2z – 4x2yz2, – 9x2y2z + 3xy2z2 + x2yz2
Add the following expressions:
p2 – 7pq – q2 and –3p2 – 2pq + 7q2
At age of 2 years, a cat or a dog is considered 24 “human” years old. Each year, after age 2 is equivalent to 4 “human” years. Fill in the expression [24 + 
(a – 2)] so that it represents the age of a cat or dog in human years. Also, you need to determine for what ‘a’ stands for. Copy the chart and use your expression to complete it.
| Age | [24 +  (a – 2)] |
Age (Human Years) |
| 2 | ||
| 3 | ||
| 4 | ||
| 5 | ||
| 6 |
