Advertisements
Advertisements
प्रश्न
Multiply: \[\left( \frac{x}{7} + \frac{x^2}{2} \right)by\left( \frac{2}{5} + \frac{9x}{4} \right)\]
Advertisements
उत्तर
To multiply the expressions, we will use the distributive law in the following way:
\[\left( \frac{x}{7} + \frac{x^2}{2} \right)\left( \frac{2}{5} + \frac{9x}{4} \right)\]
\[ = \frac{x}{7}\left( \frac{2}{5} + \frac{9x}{4} \right) + \frac{x^2}{2}\left( \frac{2}{5} + \frac{9x}{4} \right)\]
\[ = \frac{2x}{35} + \frac{9 x^2}{28} + \frac{x^2}{5} + \frac{9 x^3}{8}\]
\[ = \frac{2x}{35} + \left( \frac{45 + 28}{140} \right) x^2 + \frac{9 x^3}{8}\]
\[ = \frac{2x}{35} + \frac{73 x^2}{140} + \frac{9 x^2}{8}\]
Thus, the answer is \[\frac{2x}{35} + \frac{73 x^2}{140} + \frac{9 x^3}{8}\].
संबंधित प्रश्न
Subtract 4p2q − 3pq + 5pq2 − 8p + 7q − 10 from 18 − 3p − 11q + 5pq − 2pq2 + 5p2q
Add the following algebraic expression:
\[\frac{11}{2}xy + \frac{12}{5}y + \frac{13}{7}x, - \frac{11}{2}y - \frac{12}{5}x - \frac{13}{7}xy\]
Subtract the sum of 2x − x2 + 5 and − 4x − 3 + 7x2 from 5.
Solve:
(6a − 5b − 8c) + (15b + 2a − 5c)
Simplify: p + p + 2 + p + 3 + p – 4 – p – 5 + p + 10
Add:
7a2bc, –3abc2, 3a2bc, 2abc2
Add:
9ax + 3by – cz, –5by + ax + 3cz
Add the following expressions:
p2 – q + r, q2 – r + p and r2 – p + q
Add the following expressions:
p2 – q + r, q2 – r + p and r2 – p + q
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 |
