Advertisements
Advertisements
Question
Take away:
\[\frac{y^3}{3} + \frac{7}{3} y^2 + \frac{1}{2}y + \frac{1}{2} \text { from } \frac{1}{3} - \frac{5}{3} y^2\]
Solution
The difference is given by:
\[\left( \frac{1}{3} - \frac{5}{3} y^2 \right) - \left( \frac{y^3}{3} + \frac{7 y^2}{3} + \frac{y}{2} + \frac{1}{2} \right)\]
\[ = \frac{1}{3} - \frac{5}{3} y^2 - \frac{y^3}{3} - \frac{7 y^2}{3} - \frac{y}{2} - \frac{1}{2}\]
\[= \frac{1}{3} - \frac{1}{2} - \frac{y}{2} - \frac{5}{3} y^2 - \frac{7 y^2}{3} - \frac{y^3}{3}\] ( Collecting like terms)
= \[\left( \frac{2 - 3}{6} \right) - \frac{y}{2} + \left( \frac{- 5 - 7}{3} \right) y^2 - \frac{y^3}{3}\]
\[= - \frac{1}{6} - \frac{y}{2} - 4 y^2 - \frac{y^3}{3}\] (Combining like terms. )
APPEARS IN
RELATED QUESTIONS
State whether a given pair of term is of like or unlike term.
4m2p, 4mp2
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:
\[\frac{7}{4} x^3 + \frac{3}{5} x^2 + \frac{1}{2}x + \frac{9}{2}\text { from } \frac{7}{2} - \frac{x}{3} - \frac{x^2}{5}\]
Find the product of the terms
−2mn, (2m)2, −3mn
In the expression 25m + 14n, the type of the terms are ________ terms
2pq and – 7qp are like terms
The product of one negative and one positive term is a negative term.
3a2b and –7ba2 are ______ terms.
Like terms in the expression n(n + 1) + 6(n – 1) are ______ and ______.
5a and 5b are unlike terms
