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प्रश्न
Add the following algebraic expression: \[\frac{7}{2} x^3 - \frac{1}{2} x^2 + \frac{5}{3}, \frac{3}{2} x^3 + \frac{7}{4} x^2 - x + \frac{1}{3}, \frac{3}{2} x^2 - \frac{5}{2}x - 2\]
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उत्तर
To add, we proceed as follows:
\[\left( \frac{7}{2} x^3 - \frac{1}{2} x^2 + \frac{5}{3} \right) + \left( \frac{3}{2} x^3 + \frac{7}{4} x^2 - x + \frac{1}{3} \right) + \left( \frac{3}{2} x^2 - \frac{5}{2}x - 2 \right)\]
\[ = \frac{7}{2} x^3 - \frac{1}{2} x^2 + \frac{5}{3} + \frac{3}{2} x^3 + \frac{7}{4} x^2 - x + \frac{1}{3} + \frac{3}{2} x^2 - \frac{5}{2}x - 2\]
\[ = \frac{7}{2} x^3 + \frac{3}{2} x^3 - \frac{1}{2} x^2 + \frac{7}{4} x^2 + \frac{3}{2} x^2 - x - \frac{5}{2}x + \frac{5}{3} + \frac{1}{3} - 2 ( \text { Collecting like terms })\]
\[ = 5 x^3 + \frac{11}{4} x^2 - \frac{7}{2}x ( \text { Combining like terms })\]
संबंधित प्रश्न
Simplify combining like terms: - z2 + 13z2 − 5z + 7z3 − 15z
Add: 3mn, − 5mn, 8mn, −4mn
Subtract: 6xy from − 12xy
Subtract: a (b - 5) from b (5 - a)
Subtract: 4pq - 5q2 - 3p2 from 5p2 + 3q2 - pq
Add the following algebraic expression:
\[\frac{2}{3}a, \frac{3}{5}a, - \frac{6}{5}a\]
Subtract:
\[\frac{2}{3} y^3 - \frac{2}{7} y^2 - 5 \text { from }\frac{1}{3} y^3 + \frac{5}{7} y^2 + y - 2\]
Multiply: \[\left( \frac{x}{7} + \frac{x^2}{2} \right)by\left( \frac{2}{5} + \frac{9x}{4} \right)\]
If \[x - \frac{1}{x} = 3,\] find the values of \[x^2 + \frac{1}{x^2}\] and \[x^4 + \frac{1}{x^4} .\]
Add:
9ax + 3by – cz, –5by + ax + 3cz
