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प्रश्न
Take away:
\[\frac{5 a^2}{2} + \frac{3 a^3}{2} + \frac{a}{3} - \frac{6}{5} \text { from } \frac{1}{3} a^3 - \frac{3}{4} a^2 - \frac{5}{2}\]
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उत्तर
The difference is given by:
\[\left( \frac{1}{3} a^3 - \frac{3 a^2}{4} - \frac{5}{2} \right) - \left( \frac{5 a^2}{2} + \frac{3 a^3}{2} + \frac{a}{3} - \frac{6}{5} \right)\]
\[ = \frac{1}{3} a^3 - \frac{3 a^2}{4} - \frac{5}{2} - \frac{5 a^2}{2} - \frac{3 a^3}{2} - \frac{a}{3} + \frac{6}{5}\]
\[= \frac{1}{3} a^3 - \frac{3 a^3}{2} - \frac{3 a^2}{4} - \frac{5 a^2}{2} - \frac{a}{3} - \frac{5}{2} + \frac{6}{5}\] (Collecting like terms)
= \[\left( \frac{2 - 9}{6} \right) a^3 + \left( \frac{- 3 - 10}{4} \right) a^2 - \frac{a}{3} + \left( \frac{- 25 + 12}{10} \right)\]
\[= - \frac{7}{6} a^3 - \frac{13}{4} a^2 - \frac{a}{3} - \frac{13}{10}\] (Combining like terms)
संबंधित प्रश्न
State whether a given pair of term is of like or unlike term.
1,100
State whether a given pair of term is of like or unlike term.
`-7x, 5/2 x`
State whether a given pair of term is of like or unlike term.
14xy, 42yx
Identify like term in the following:
−xy2, − 4yx2, 8x2, 2xy2, 7y, −11x2, −100x, −11yx, 20x2y, −6x2, y, 2xy, 3x
Identify like term in the following:
10pq, 7p, 8q, −p2q2, −7qp, −100q, −23, 12q2p2, −5p2, 41, 2405p, 78qp, 13p2q, qp2, 701p2
Take away:
\[\frac{7}{4} x^3 + \frac{3}{5} x^2 + \frac{1}{2}x + \frac{9}{2}\text { from } \frac{7}{2} - \frac{x}{3} - \frac{x^2}{5}\]
Take away:
\[\frac{2}{3}ac - \frac{5}{7}ab + \frac{2}{3}bc\text { from } \frac{3}{2}ab - \frac{7}{4}ac - \frac{5}{6}bc\]
Find the product of the terms
−2mn, (2m)2, −3mn
Find the product of the terms
3x2y , −3xy3, x2y2
If the area of a square is 36x4y2 then, its side is ____________
