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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:
\[\left( \frac{3}{2}a - \frac{5}{4}b + \frac{2}{5}c \right) + \left( \frac{2}{3}a - \frac{7}{2}b + \frac{7}{2}c \right) + \left( \frac{5}{3}a + \frac{5}{2}b - \frac{5}{4}c \right)\]
\[ = \frac{3}{2}a - \frac{5}{4}b + \frac{2}{5}c + \frac{2}{3}a - \frac{7}{2}b + \frac{7}{2}c + \frac{5}{3}a + \frac{5}{2}b - \frac{5}{4}c\]
\[ = \frac{3}{2}a + \frac{2}{3}a + \frac{5}{3}a - \frac{5}{4}b - \frac{7}{2}b + \frac{5}{2}b + \frac{2}{5}c + \frac{7}{2}c - \frac{5}{4}c (\text { Collecting like terms })\]
\[ = \frac{23}{6}a - \frac{9}{4}b + \frac{53}{20}c (\text { Combining like terms })\]
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संबंधित प्रश्न
Add the following:
a − b + ab, b − c + bc, c − a + ac
Add: x2 - y2 - 1 , y2 - 1 - x2, 1- x2 - y2
Subtract: -x2 + 10x - 5 from 5x - 10
What should be added to x2 + xy + y2 to obtain 2x2 + 3xy?
Subtract:
− 5xy from 12xy
Subtract:
\[\frac{2}{3} y^3 - \frac{2}{7} y^2 - 5 \text { from }\frac{1}{3} y^3 + \frac{5}{7} y^2 + y - 2\]
Subtract the sum of 2x − x2 + 5 and − 4x − 3 + 7x2 from 5.
Add:
9p + 16q; 13p + 2q
Add:
−3y2 + 10y − 16; 7y2 + 8
Add:
2p4 – 3p3 + p2 – 5p + 7, –3p4 – 7p3 – 3p2 – p – 12
