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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
Add: a + b - 3, b - a + 3, a - b + 3
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Subtract: 6xy from − 12xy
Add the following algebraic expression:
\[\frac{2}{3}a, \frac{3}{5}a, - \frac{6}{5}a\]
Add the following algebraic expression:
\[\frac{3}{2}a - \frac{5}{4}b + \frac{2}{5}c, \frac{2}{3}a - \frac{7}{2}b + \frac{7}{2}c, \frac{5}{3}a + \frac{5}{2}b - \frac{5}{4}c\]
Find the sum of the following expressions
mn + t, 2mn – 2t, – 3t + 3mn
Sum of x and y is x + y.
Add the following expressions:
p2 – q + r, q2 – r + p and r2 – p + q
Add the following expressions:
p2qr + pq2r + pqr2 and – 3pq2r – 2pqr2
Write two different algebraic expressions for the word phrase “`(1/4)` of the sum of x and 7.”
