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प्रश्न
Add the following algebraic expression:
\[\frac{11}{2}xy + \frac{12}{5}y + \frac{13}{7}x, - \frac{11}{2}y - \frac{12}{5}x - \frac{13}{7}xy\]
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उत्तर
To add, we proceed as follows:
\[\left( \frac{11}{2}xy + \frac{12}{5}y + \frac{13}{7}x \right) + \left( - \frac{11}{2}y - \frac{12}{5}x - \frac{13}{7}xy \right)\]
\[ = \frac{11}{2}xy + \frac{12}{5}y + \frac{13}{7}x - \frac{11}{2}y - \frac{12}{5}x - \frac{13}{7}xy\]
\[ = \frac{11}{2}xy - \frac{13}{7}xy + \frac{12}{5}y - \frac{11}{2}y + \frac{13}{7}x - \frac{12}{5}x ( \text { Collecting like terms })\]
\[ = \frac{51}{14}xy - \frac{31}{10}y - \frac{19}{35}x (\text { Combining like terms })\]
संबंधित प्रश्न
Subtract 3xy + 5yz − 7zx from 5xy − 2yz − 2zx + 10xyz.
Simplify combining like terms: - z2 + 13z2 − 5z + 7z3 − 15z
Subtract: - 5y2 from y2
What should be subtracted from 2a + 8b + 10 to get - 3a + 7b + 16?
From the sum of 3x - y + 11 and - y - 11, subtract 3x - y - 11.
Add the following algebraic expression:
\[\frac{3}{2}a - \frac{5}{4}b + \frac{2}{5}c, \frac{2}{3}a - \frac{7}{2}b + \frac{7}{2}c, \frac{5}{3}a + \frac{5}{2}b - \frac{5}{4}c\]
Subtract:
2a2 from − 7a2
Add:
9p + 16q; 13p + 2q
Add:
9ax + 3by – cz, –5by + ax + 3cz
Add:
5x2 – 3xy + 4y2 – 9, 7y2 + 5xy – 2x2 + 13
