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
Add the following:
2p2q2 − 3pq + 4, 5 + 7pq − 3p2q2
What should be subtracted from 2a + 8b + 10 to get - 3a + 7b + 16?
Subtract:
\[x^2 y - \frac{4}{5}x y^2 + \frac{4}{3}xy \text { from } \frac{2}{3} x^2 y + \frac{3}{2}x y^2 - \frac{1}{3}xy\]
Add: 7mn, 5mn
Add:
9ax + 3by – cz, –5by + ax + 3cz
Add:
3a(2b + 5c), 3c(2a + 2b)
Add the following expressions:
x3y2 + x2y3 + 3y4 and x4 + 3x2y3 + 4y4
Add the following expressions:
`5/8p^4 + 2p^2 + 5/8; 1/8 - 17p + 9/8p^2` and `p^5 - p^3 + 7`
Write two different algebraic expressions for the word phrase “`(1/4)` of the sum of x and 7.”
