Advertisements
Advertisements
Question
Add the following algebraic expression:
\[\frac{11}{2}xy + \frac{12}{5}y + \frac{13}{7}x, - \frac{11}{2}y - \frac{12}{5}x - \frac{13}{7}xy\]
Advertisements
Solution
To add, we proceed as follows:
\[\left( \frac{11}{2}xy + \frac{12}{5}y + \frac{13}{7}x \right) + \left( - \frac{11}{2}y - \frac{12}{5}x - \frac{13}{7}xy \right)\]
\[ = \frac{11}{2}xy + \frac{12}{5}y + \frac{13}{7}x - \frac{11}{2}y - \frac{12}{5}x - \frac{13}{7}xy\]
\[ = \frac{11}{2}xy - \frac{13}{7}xy + \frac{12}{5}y - \frac{11}{2}y + \frac{13}{7}x - \frac{12}{5}x ( \text { Collecting like terms })\]
\[ = \frac{51}{14}xy - \frac{31}{10}y - \frac{19}{35}x (\text { Combining like terms })\]
RELATED QUESTIONS
Simplify combining like terms: p − (p − q) − q − (q − p)
Simplify combining like terms: 3a - 2b - ab - (a - b + ab) + 3ab + b - a
Add: 3mn, − 5mn, 8mn, −4mn
From the sum of 3x - y + 11 and - y - 11, subtract 3x - y - 11.
Subtract:
\[x^2 y - \frac{4}{5}x y^2 + \frac{4}{3}xy \text { from } \frac{2}{3} x^2 y + \frac{3}{2}x y^2 - \frac{1}{3}xy\]
Multiply: \[\left( \frac{x}{7} + \frac{x^2}{2} \right)by\left( \frac{2}{5} + \frac{9x}{4} \right)\]
Add:
17a2b2 + 16c; 28c − 28a2b2
Find the sum of the following expressions
a + 5b + 7c, 2a + 10b + 9c
Simplify: n + (m + 1) + (n + 2) + (m + 3) + (n + 4) + (m + 5)
Add the following expressions:
uv – vw, vw – wu and wu – uv
