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प्रश्न
Subtract:
\[\frac{3}{2}x - \frac{5}{4}y - \frac{7}{2}z \text { from }\frac{2}{3}x + \frac{3}{2}y - \frac{4}{3}z\]
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उत्तर
\[\left( \frac{2}{3}x + \frac{3}{2}y - \frac{4}{3}z \right) - \left( \frac{3}{2}x - \frac{5}{4}y - \frac{7}{2}z \right)\]
\[ = \frac{2}{3}x + \frac{3}{2}y - \frac{4}{3}z - \frac{3}{2}x + \frac{5}{4}y + \frac{7}{2}z\]
\[ = \frac{2}{3}x - \frac{3}{2}x + \frac{3}{2}y + \frac{5}{4}y - \frac{4}{3}z + \frac{7}{2}z (\text { Collecting like terms } )\]
\[ = - \frac{5}{6}x + \frac{11}{4}y + \frac{13}{6}z (\text { Combining like terms })\]
संबंधित प्रश्न
Simplify combining like terms: (3y2 + 5y - 4) - (8y - y2 - 4)
Subtract: 5a2 - 7ab + 5b2 from 3ab - 2a2 -2b2
Add the following algebraic expression:
4xy2 − 7x2y, 12x2y − 6xy2, − 3x2y +5xy2
Subtract 3x − 4y − 7z from the sum of x − 3y + 2z and − 4x + 9y − 11z.
Add: 7mn, 5mn
Multiply the following:
(ab + c), (ab + c)
Sum of 2 and p is 2p.
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
Add the following expressions:
x3y2 + x2y3 + 3y4 and x4 + 3x2y3 + 4y4
