Advertisements
Advertisements
प्रश्न
Add the following algebraic expression:
\[\frac{3}{2}a - \frac{5}{4}b + \frac{2}{5}c, \frac{2}{3}a - \frac{7}{2}b + \frac{7}{2}c, \frac{5}{3}a + \frac{5}{2}b - \frac{5}{4}c\]
Advertisements
उत्तर
To add, we proceed as follows:
\[\left( \frac{3}{2}a - \frac{5}{4}b + \frac{2}{5}c \right) + \left( \frac{2}{3}a - \frac{7}{2}b + \frac{7}{2}c \right) + \left( \frac{5}{3}a + \frac{5}{2}b - \frac{5}{4}c \right)\]
\[ = \frac{3}{2}a - \frac{5}{4}b + \frac{2}{5}c + \frac{2}{3}a - \frac{7}{2}b + \frac{7}{2}c + \frac{5}{3}a + \frac{5}{2}b - \frac{5}{4}c\]
\[ = \frac{3}{2}a + \frac{2}{3}a + \frac{5}{3}a - \frac{5}{4}b - \frac{7}{2}b + \frac{5}{2}b + \frac{2}{5}c + \frac{7}{2}c - \frac{5}{4}c (\text { Collecting like terms })\]
\[ = \frac{23}{6}a - \frac{9}{4}b + \frac{53}{20}c (\text { Combining like terms })\]
APPEARS IN
संबंधित प्रश्न
Add the following:
ab − bc, bc − ca, ca − ab
Add: 3mn, − 5mn, 8mn, −4mn
Add: 4x2y, - 3xy2, - 5xy2, 5x2y
Subtract: (a - b) from (a + b)
What should be taken away from 3x2 - 4y2 + 5xy + 20 to obtain - x2 - y2 + 6xy + 20?
From the sum of 3x - y + 11 and - y - 11, subtract 3x - y - 11.
Solve:
(6a − 5b − 8c) + (15b + 2a − 5c)
The expression 13 + 90 is a ______.
Add the following expressions:
ab + bc + ca and – bc – ca – ab
Translate the following algebraic expression:
8(m + 5)
