Advertisements
Advertisements
Question
Expand (52)3
Sum
Solution
(52)3 = (50 + 2)3
Comparing (50 + 2)3 with (a + b)3 we have a = 50 and b = 2
(a + b)3 = a3 + 3a2b + 3ab2 + b3
(50 + 2)3 = 503 + 3(50)2(2) + 3(50)(2)2 + 23
523 = 1,25,000 + 6(2,500) + 150(4) + 8
= 1,25,000 + 15,000 + 600 + 8
523 = 1,40,608
shaalaa.com
Is there an error in this question or solution?
Chapter 3: Algebra - Exercise 3.3 [Page 91]
APPEARS IN
RELATED QUESTIONS
Expand.
(52)3
Expand.
(101)3
Expand.
`((5x)/y + y/(5x))^3`
Find the cube of : `2a + 1/(2a)` ( a ≠ 0 )
If a + 2b = 5; then show that : a3 + 8b3 + 30ab = 125.
Use property to evaluate : 133 + (-8)3 + (-5)3
The sum of two numbers is 9 and their product is 20. Find the sum of their (i) Squares (ii) Cubes
If `5x + (1)/(5x) = 7`; find the value of `125x^3 + (1)/(125x^3)`.
Simplify:
(a + b)3 + (a - b)3
Evaluate the following :
(5.45)3 + (3.55)3
