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प्रश्न
Add the following expressions:
x3y2 + x2y3 + 3y4 and x4 + 3x2y3 + 4y4
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उत्तर
We have, (x3y2 + x2y3 + 3y4) + (x4 + 3x2y3 + 4y4)
= x3y2 + x2y3 + 3y4 + x4 + 3x2y3 + 4y4
On combining the like terms,
= x3y2 + x2y3 + 3x2y3 + x4 + 3y4 + 4y4
= x4 + 7y4 + x3y2 + 4x2y3
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संबंधित प्रश्न
Add the following:
2p2q2 − 3pq + 4, 5 + 7pq − 3p2q2
Simplify combining like terms: 5x2y − 5x2 + 3y x2 − 3y2 + x2 − y2 + 8xy2 −3y2
Subtract: a (b - 5) from b (5 - a)
Subtract:
− 5xy from 12xy
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:
\[x^2 y - \frac{4}{5}x y^2 + \frac{4}{3}xy \text { from } \frac{2}{3} x^2 y + \frac{3}{2}x y^2 - \frac{1}{3}xy\]
a(b + c) = a × ____ + a × _____.
Each symbol given below represents an algebraic expression:
= 2x2 + 3y,
= 5x2 + 3x,
= 8y2 – 3x2 + 2x + 3y
The symbols are then represented in the expression:

Find the expression which is represented by the above symbols.
Write two different algebraic expressions for the word phrase “`(1/4)` of the sum of x and 7.”
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 |
(a – 2)] 