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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 \[- 6x + 10y - 2z\].
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संबंधित प्रश्न
Subtract 4p2q − 3pq + 5pq2 − 8p + 7q − 10 from 18 − 3p − 11q + 5pq − 2pq2 + 5p2q
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\[\frac{3}{2}x - \frac{5}{4}y - \frac{7}{2}z \text { from }\frac{2}{3}x + \frac{3}{2}y - \frac{4}{3}z\]
Subtract:
\[x^2 y - \frac{4}{5}x y^2 + \frac{4}{3}xy \text { from } \frac{2}{3} x^2 y + \frac{3}{2}x y^2 - \frac{1}{3}xy\]
Simplify: p + p + 2 + p + 3 + p – 4 – p – 5 + p + 10
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2p4 – 3p3 + p2 – 5p + 7, –3p4 – 7p3 – 3p2 – p – 12
Multiply the following:
(ab + c), (ab + c)
Sum of x and y is x + y.
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At age of 2 years, a cat or a dog is considered 24 “human” years old. Each year, after age 2 is equivalent to 4 “human” years. Fill in the expression [24 + 
(a – 2)] so that it represents the age of a cat or dog in human years. Also, you need to determine for what ‘a’ stands for. Copy the chart and use your expression to complete it.
| Age | [24 +  (a – 2)] |
Age (Human Years) |
| 2 | ||
| 3 | ||
| 4 | ||
| 5 | ||
| 6 |
