Advertisements
Advertisements
प्रश्न
Take away:
\[\frac{7}{4} x^3 + \frac{3}{5} x^2 + \frac{1}{2}x + \frac{9}{2}\text { from } \frac{7}{2} - \frac{x}{3} - \frac{x^2}{5}\]
Advertisements
उत्तर
The difference is given by:
\[\left( \frac{7}{2} - \frac{x}{3} - \frac{x^2}{5} \right) - \left( \frac{7 x^3}{4} + \frac{3 x^2}{5} + \frac{x}{2} + \frac{9}{2} \right)\]
\[ = \frac{7}{2} - \frac{x}{3} - \frac{x^2}{5} - \frac{7 x^3}{4} - \frac{3 x^2}{5} - \frac{x}{2} - \frac{9}{2}\]
\[= \frac{7}{2} - \frac{9}{2} - \frac{x}{3} - \frac{x}{2} - \frac{x^2}{5} - \frac{3 x^2}{5} - \frac{7 x^3}{4}\]
(Collecting like terms)
= \[\left( \frac{7 - 9}{2} \right) + \left( \frac{- 2 - 3}{6} \right)x + \left( \frac{- 1 - 3}{5} \right) x^2 - \frac{7 x^3}{4}\]
\[= - 1 - \frac{5x}{6} - \frac{4 x^2}{5} - \frac{7 x^3}{4}\] (Combining like terms )
संबंधित प्रश्न
State whether a given pair of term is of like or unlike term.
12xz, 12x2z2
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: \[- \frac{1}{2} a^2 b^2 c + \frac{1}{3}a b^2 c - \frac{1}{4}ab c^2 - \frac{1}{5}c b^2 a^2 + \frac{1}{6}c b^2 a - \frac{1}{7} c^2 ab + \frac{1}{8}c a^2 b .\]
In the polynomial, given below, separate the like terms:
3xy, − 4yx2, 2xy2, 2.5x2y, −8yx, −3.2y2x and x2y
The missing terms in the product −3m3n × 9(__) = _________ m4n3
In the expression 25m + 14n, the type of the terms are ________ terms
Identify the like terms among the following:
7x, 5y, −8x, 12y, 6z, z, −12x, −9y, 11z
The product of two negative terms is a negative term.
In an algebraic expression, terms are separated by which of the following signs?
Which option correctly identifies a constant and a variable?
