Advertisements
Advertisements
Question
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
Solution
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 )
RELATED QUESTIONS
State whether a given pair of term is of like or unlike term.
−29x, −29y
State whether a given pair of term is of like or unlike term.
4m2p, 4mp2
Identify like term in the following:
10pq, 7p, 8q, −p2q2, −7qp, −100q, −23, 12q2p2, −5p2, 41, 2405p, 78qp, 13p2q, qp2, 701p2
Take away:
\[\frac{5 a^2}{2} + \frac{3 a^3}{2} + \frac{a}{3} - \frac{6}{5} \text { from } \frac{1}{3} a^3 - \frac{3}{4} a^2 - \frac{5}{2}\]
Simplify the following:
\[\left( \frac{1}{3} y^2 - \frac{4}{7}y + 11 \right) - \left( \frac{1}{7}y - 3 + 2 y^2 \right) - \left( \frac{2}{7}y - \frac{2}{3} y^2 + 2 \right)\]
In the expression 25m + 14n, the type of the terms are ________ terms
Choose the pair of like terms
Which of the following is a binomial?
The product of two terms with unlike signs is a ______ term.
Sum or difference of two like terms is ______.
