Advertisements
Advertisements
Question
Subtract:
\[\frac{3}{2}x - \frac{5}{4}y - \frac{7}{2}z \text { from }\frac{2}{3}x + \frac{3}{2}y - \frac{4}{3}z\]
Advertisements
Solution
\[\left( \frac{2}{3}x + \frac{3}{2}y - \frac{4}{3}z \right) - \left( \frac{3}{2}x - \frac{5}{4}y - \frac{7}{2}z \right)\]
\[ = \frac{2}{3}x + \frac{3}{2}y - \frac{4}{3}z - \frac{3}{2}x + \frac{5}{4}y + \frac{7}{2}z\]
\[ = \frac{2}{3}x - \frac{3}{2}x + \frac{3}{2}y + \frac{5}{4}y - \frac{4}{3}z + \frac{7}{2}z (\text { Collecting like terms } )\]
\[ = - \frac{5}{6}x + \frac{11}{4}y + \frac{13}{6}z (\text { Combining like terms })\]
RELATED QUESTIONS
Subtract 4p2q − 3pq + 5pq2 − 8p + 7q − 10 from 18 − 3p − 11q + 5pq − 2pq2 + 5p2q
Add: ab - 4a, 4b - ab, 4a - 4b
Subtract:
\[\frac{2}{3} y^3 - \frac{2}{7} y^2 - 5 \text { from }\frac{1}{3} y^3 + \frac{5}{7} y^2 + y - 2\]
Subtract the sum of 2x − x2 + 5 and − 4x − 3 + 7x2 from 5.
If \[x + \frac{1}{x} = 9,\] find the value of \[x^4 + \frac{1}{x^4} .\]
Add:
−3y2 + 10y − 16; 7y2 + 8
Solve the following equation.
`4"x"+1/2=9/2`
Find the sum of the following expressions
a + 5b + 7c, 2a + 10b + 9c
Add the following expressions:
p2 – 7pq – q2 and –3p2 – 2pq + 7q2
Add the following expressions:
p2 – q + r, q2 – r + p and r2 – p + q
