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प्रश्न
Expand.
(7x + 8y)3
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उत्तर
(7x + 8y)3
= `(7x)^3 + 3 xx (7x)^2 xx (8y) + 3 xx (7x) xx (8y)^2 + (8y)^3` …[∵ (a + b)3 = a3 + 3a2b + 3ab2 + b3]
= `343x^3 + 3(49x^2)(8y) + 3(7x)(64y^2) + 512y^3`
= `343x^3 + 1176x^2y + 1344xy^2 + 512y^3`
संबंधित प्रश्न
Find the cube of : 5a + 3b
Two positive numbers x and y are such that x > y. If the difference of these numbers is 5 and their product is 24, find:
- Sum of these numbers
- Difference of their cubes
- Sum of their cubes.
If `5x + (1)/(5x) = 7`; find the value of `125x^3 + (1)/(125x^3)`.
If `"a" - (1)/"a" = 7`, find `"a"^2 + (1)/"a"^2 , "a"^2 - (1)/"a"^2` and `"a"^3 - (1)/"a"^3`
If `9"a"^2 + (1)/(9"a"^2) = 23`; find the value of `27"a"^3 + (1)/(27"a"^3)`
Evaluate the following :
(5.45)3 + (3.55)3
Evaluate the following :
(8.12)3 - (3.12)3
Expand: (x + 3)3.
Expand (52)3
Find the volume of the cube whose side is (x + 1) cm
