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प्रश्न
Add the following algebraic expression:
\[\frac{3}{2}a - \frac{5}{4}b + \frac{2}{5}c, \frac{2}{3}a - \frac{7}{2}b + \frac{7}{2}c, \frac{5}{3}a + \frac{5}{2}b - \frac{5}{4}c\]
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उत्तर
To add, we proceed as follows:
\[\left( \frac{3}{2}a - \frac{5}{4}b + \frac{2}{5}c \right) + \left( \frac{2}{3}a - \frac{7}{2}b + \frac{7}{2}c \right) + \left( \frac{5}{3}a + \frac{5}{2}b - \frac{5}{4}c \right)\]
\[ = \frac{3}{2}a - \frac{5}{4}b + \frac{2}{5}c + \frac{2}{3}a - \frac{7}{2}b + \frac{7}{2}c + \frac{5}{3}a + \frac{5}{2}b - \frac{5}{4}c\]
\[ = \frac{3}{2}a + \frac{2}{3}a + \frac{5}{3}a - \frac{5}{4}b - \frac{7}{2}b + \frac{5}{2}b + \frac{2}{5}c + \frac{7}{2}c - \frac{5}{4}c (\text { Collecting like terms })\]
\[ = \frac{23}{6}a - \frac{9}{4}b + \frac{53}{20}c (\text { Combining like terms })\]
संबंधित प्रश्न
Simplify combining like terms: 21b − 32 + 7b − 20b
Subtract: - 5y2 from y2
Subtract: 4pq - 5q2 - 3p2 from 5p2 + 3q2 - pq
Subtract:
2a2 from − 7a2
Add:
13x2 − 12y2; 6x2 − 8y2
Add:
−3y2 + 10y − 16; 7y2 + 8
Solve:
(6a − 5b − 8c) + (15b + 2a − 5c)
Add:
2p4 – 3p3 + p2 – 5p + 7, –3p4 – 7p3 – 3p2 – p – 12
Sum of x2 + x and y + y2 is 2x2 + 2y2.
Add the following expressions:
x3 – x2y – xy2 – y3 and x3 – 2x2y + 3xy2 + 4y
