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प्रश्न
Take away:
\[\frac{2}{3}ac - \frac{5}{7}ab + \frac{2}{3}bc\text { from } \frac{3}{2}ab - \frac{7}{4}ac - \frac{5}{6}bc\]
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उत्तर
The difference is given by:
\[\left( \frac{3}{2}ab - \frac{7}{4}ac - \frac{5}{6}bc \right) - \left( \frac{2}{3}ac - \frac{5}{7}ab + \frac{2}{3}bc \right)\]
\[ = \frac{3}{2}ab-\frac{7}{4}ac-\frac{5}{6}bc-\frac{2}{3}ac+\frac{5}{7}ab-\frac{2}{3}bc\]
\[= \frac{3}{2}ab + \frac{5}{7}ab - \frac{7}{4}ac - \frac{2}{3}ac - \frac{5}{6}bc - \frac{2}{3}bc\] (Collecting like terms )
= \[\left( \frac{21 + 10}{14} \right)ab + \left( \frac{- 21 - 8}{12} \right)ac + \left( \frac{- 5 - 4}{6} \right)bc\]
\[=\frac{31}{14}ab-\frac{29}{12}ac-\frac{3}{2}bc\] (Combining like terms )
संबंधित प्रश्न
State whether a given pair of term is of like or unlike term.
12xz, 12x2z2
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:
\[\frac{6}{5} x^2 - \frac{4}{5} x^3 + \frac{5}{6} + \frac{3}{2}x \text { from }\frac{x^3}{3} - \frac{5}{2} x^2 + \frac{3}{5}x + \frac{1}{4}\]
Simplify the following:
[5 − 3x + 2y − (2x − y)] − (3x − 7y + 9)
Simplify the following:
\[\frac{11}{2} x^2 y - \frac{9}{4}x y^2 + \frac{1}{4}xy - \frac{1}{14} y^2 x + \frac{1}{15}y x^2 + \frac{1}{2}xy\]
If the area of a square is 36x4y2 then, its side is ____________
The product of two negative terms is a negative term.
In like terms, variables and their powers are the same.
Which of the following pairs represents "like terms"?
