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प्रश्न
Subtract 3x − 4y − 7z from the sum of x − 3y + 2z and − 4x + 9y − 11z.
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उत्तर
Let first add the expressions
\[x - 3y + 2z \text { and } - 4x + 9y - 11z\] We get:
\[\left( x - 3y + 2z \right) + \left( - 4x + 9y - 11z \right)\]
\[= x - 3y + 2z - 4x + 9y - 11z\]
\[= x - 4x - 3y + 9y + 2z - 11z\] (Collecting like terms)
\[= - 3x + 6y - 9z\] (Combining like terms)
Now, subtracting the expression
\[3x - 4y - 7z\] from the above sum; we get:
\[\left( - 3x + 6y - 9z \right) - \left( 3x - 4y - 7z \right)\]
\[ = - 3x + 6y - 9z - 3x + 4y + 7z\]
\[= - 3x - 3x + 6y + 4y - 9z + 7z\] (Collecting like terms)
\[= - 6x + 10y - 2z\] (Combining like terms)
Thus, the answer is \[- 6x + 10y - 2z\].
संबंधित प्रश्न
Simplify combining like terms: 21b − 32 + 7b − 20b
Simplify combining like terms: p − (p − q) − q − (q − p)
Add: -7mn + 5, 12mn + 2, 9mn - 8, -2mn - 3
Subtract: 5a2 - 7ab + 5b2 from 3ab - 2a2 -2b2
Subtract:
\[\frac{3}{2}x - \frac{5}{4}y - \frac{7}{2}z \text { from }\frac{2}{3}x + \frac{3}{2}y - \frac{4}{3}z\]
Subtract the sum of 2x − x2 + 5 and − 4x − 3 + 7x2 from 5.
Find the sum of the following expressions
u + v, u – v, 2u + 5v, 2u – 5v
Simplify: n + (m + 1) + (n + 2) + (m + 3) + (n + 4) + (m + 5)
The addition of 3mn, – 5mn, 8mn and – 4mn is
Add:
xy2z2 + 3x2y2z – 4x2yz2, – 9x2y2z + 3xy2z2 + x2yz2
