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प्रश्न
Multiply: `2"x"+1/2"y"` and `2"x"-1/2"y"`
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उत्तर
`(2"x"+1/2"y")(2"x"-1/2"y")`
= `2"x"(2"x"-1/2"y")+1/2"y"(2"x"-1/2"y")`
= `4"x"^2-"xy"+"xy"-1/4"y"^2`
= `4"x"^2-1/4"y"^2`
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संबंधित प्रश्न
Find the product of the following pair of monomial.
4p, 0
Complete the table of products.
|
First monomial→ |
2x |
–5y |
3x2 |
–4xy |
7x2y |
–9x2y2 |
|
Second monomial ↓ |
||||||
| 2x | 4x2 | ... | ... | ... | ... | ... |
| –5y | ... | ... | –15x2y | ... | ... | ... |
| 3x2 | ... | ... | ... | ... | ... | ... |
| – 4xy | ... | ... | ... | ... | ... | ... |
| 7x2y | ... | ... | ... | ... | ... | ... |
| –9x2y2 | ... | ... | ... | ... | ... | ... |
Express each of the following product as a monomials and verify the result for x = 1, y = 2:
\[\left( \frac{4}{9}ab c^3 \right) \times \left( - \frac{27}{5} a^3 b^2 \right) \times \left( - 8 b^3 c \right)\]
Multiply: 5a − 1 by 7a − 3
Multiply: 2m2 − 3m − 1 and 4m2 − m − 1
| Length | breadth | height | |
| (i) | 2ax | 3by | 5cz |
| (ii) | m2n | n2p | p2m |
| (iii) | 2q | 4q2 | 8q3 |
At present, Thenmozhi’s age is 5 years more than that of Murali’s age. Five years ago, the ratio of Thenmozhi’s age to Murali’s age was 3 : 2. Find their present ages.
Product of the following monomials 4p, –7q3, –7pq is ______.
Area of a rectangle with length 4ab and breadth 6b2 is ______.
Multiply the following:
(p + 6), (q – 7)
