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प्रश्न
Simplify the following:
\[\frac{11}{2} x^2 y - \frac{9}{4}x y^2 + \frac{1}{4}xy - \frac{1}{14} y^2 x + \frac{1}{15}y x^2 + \frac{1}{2}xy\]
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उत्तर
\[ \frac{11}{2} x^2 y - \frac{9}{4}x y^2 + \frac{1}{4}xy - \frac{1}{14} y^2 x + \frac{1}{15}y x^2 + \frac{1}{2}xy\]
\[= \frac{11}{2} x^2 y + \frac{1}{15}y x^2 - \frac{9}{4}x y^2 - \frac{1}{14} y^2 x + \frac{1}{4}xy + \frac{1}{2}xy\] (Collecting like terms)
= \[\left( \frac{165 + 2}{30} \right) x^2 y + \left( \frac{- 63 - 2}{28} \right)x y^2 + \left( \frac{1 + 2}{4} \right)xy\]
\[= \frac{167}{30} x^2 y - \frac{65}{28} y^2 x + \frac{3}{2}xy\] (Combining like terms)
संबंधित प्रश्न
State whether a given pair of term is of like or unlike term.
−29x, −29y
Take away:
\[\frac{5 a^2}{2} + \frac{3 a^3}{2} + \frac{a}{3} - \frac{6}{5} \text { from } \frac{1}{3} a^3 - \frac{3}{4} a^2 - \frac{5}{2}\]
Take away:
\[\frac{y^3}{3} + \frac{7}{3} y^2 + \frac{1}{2}y + \frac{1}{2} \text { from } \frac{1}{3} - \frac{5}{3} y^2\]
Simplify the following:
[5 − 3x + 2y − (2x − y)] − (3x − 7y + 9)
Find the product of the terms
3x2y , −3xy3, x2y2
Identify the like terms: 12x3y2z, – y3x2z, 4z3y2x, 6x3z2y, – 5y3x2z
Which of the following is a pair of like terms?
Like terms in the expression n(n + 1) + 6(n – 1) are ______ and ______.
The unlike terms in perimeters of following figures are ______ and ______.
5a and 5b are unlike terms.
