Advertisements
Advertisements
Question
Expand.
(52)3
Advertisements
Solution
(52)3
(a + b)3 = a3 + 3a2b + 3ab2 + b3
= `(50 + 2)^3` = `(50)^3 + 3 xx (50)^2 xx (2) + 3 xx (50)(2)^2 + (2)^3`
= 125000 + 3 × 2500 × 2 + 150 × 4 + 8
= 125000 + 7500 × 2 + 600 + 8
= 125000 + 15000 + 600 + 8
= 140608
RELATED QUESTIONS
If X ≠ 0 and X + `1/"X"` = 2 ; then show that :
`x^2 + 1/x^2 = x^3 + 1/x^3 = x^4 + 1/x^4`
Find the cube of: 2a - 5b
If `5x + (1)/(5x) = 7`; find the value of `125x^3 + (1)/(125x^3)`.
If `3x - (1)/(3x) = 9`; find the value of `27x^3 - (1)/(27x^3)`.
If `"m"^2 + (1)/"m"^2 = 51`; find the value of `"m"^3 - (1)/"m"^3`
If `"r" - (1)/"r" = 4`; find : `"r"^3 - (1)/"r"^3`
If `"a" + (1)/"a" = "p"`; then show that `"a"^3 + (1)/"a"^3 = "p"("p"^2 - 3)`
If p - q = -1 and pq = -12, find p3 - q3
Expand (3p + 4q)3
Find the volume of the cube whose side is (x + 1) cm
