Advertisements
Advertisements
प्रश्न
Add the following algebraic expression:
\[\frac{3}{2}a - \frac{5}{4}b + \frac{2}{5}c, \frac{2}{3}a - \frac{7}{2}b + \frac{7}{2}c, \frac{5}{3}a + \frac{5}{2}b - \frac{5}{4}c\]
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
Simplify combining like terms: - z2 + 13z2 − 5z + 7z3 − 15z
Simplify combining like terms: p − (p − q) − q − (q − p)
Subtract: -m2 + 5mn from 4m2 - 3mn + 8
Subtract: 4pq - 5q2 - 3p2 from 5p2 + 3q2 - pq
Add the following algebraic expression:
\[\frac{11}{2}xy + \frac{12}{5}y + \frac{13}{7}x, - \frac{11}{2}y - \frac{12}{5}x - \frac{13}{7}xy\]
Add: −9y, 11y, 2y
Simplify: n + (m + 1) + (n + 2) + (m + 3) + (n + 4) + (m + 5)
Add: 2a + b + 3c and `"a" + 1/3"b" + 2/5"c"`
Multiply the following:
(ab + c), (ab + c)
What should be added to x3 + 3x2y + 3xy2 + y3 to get x3 + y3?
