Advertisements
Advertisements
प्रश्न
Add the following algebraic expression: \[\frac{7}{2} x^3 - \frac{1}{2} x^2 + \frac{5}{3}, \frac{3}{2} x^3 + \frac{7}{4} x^2 - x + \frac{1}{3}, \frac{3}{2} x^2 - \frac{5}{2}x - 2\]
Advertisements
उत्तर
To add, we proceed as follows:
\[\left( \frac{7}{2} x^3 - \frac{1}{2} x^2 + \frac{5}{3} \right) + \left( \frac{3}{2} x^3 + \frac{7}{4} x^2 - x + \frac{1}{3} \right) + \left( \frac{3}{2} x^2 - \frac{5}{2}x - 2 \right)\]
\[ = \frac{7}{2} x^3 - \frac{1}{2} x^2 + \frac{5}{3} + \frac{3}{2} x^3 + \frac{7}{4} x^2 - x + \frac{1}{3} + \frac{3}{2} x^2 - \frac{5}{2}x - 2\]
\[ = \frac{7}{2} x^3 + \frac{3}{2} x^3 - \frac{1}{2} x^2 + \frac{7}{4} x^2 + \frac{3}{2} x^2 - x - \frac{5}{2}x + \frac{5}{3} + \frac{1}{3} - 2 ( \text { Collecting like terms })\]
\[ = 5 x^3 + \frac{11}{4} x^2 - \frac{7}{2}x ( \text { Combining like terms })\]
APPEARS IN
संबंधित प्रश्न
Subtract 3xy + 5yz − 7zx from 5xy − 2yz − 2zx + 10xyz.
Add: t - 8tz, 3tz - z, z - t
Add the following algebraic expression:
\[\frac{3}{2}a - \frac{5}{4}b + \frac{2}{5}c, \frac{2}{3}a - \frac{7}{2}b + \frac{7}{2}c, \frac{5}{3}a + \frac{5}{2}b - \frac{5}{4}c\]
If \[x + \frac{1}{x} = 9,\] find the value of \[x^4 + \frac{1}{x^4} .\]
Solve the following equation.
`4"x"+1/2=9/2`
Find the sum of the following expressions
u + v, u – v, 2u + 5v, 2u – 5v
Add:
xy2z2 + 3x2y2z – 4x2yz2, – 9x2y2z + 3xy2z2 + x2yz2
Add:
5x2 – 3xy + 4y2 – 9, 7y2 + 5xy – 2x2 + 13
Add:
3a(2b + 5c), 3c(2a + 2b)
Add the following expressions:
uv – vw, vw – wu and wu – uv
