Advertisements
Advertisements
Question
Expand (3p + 4q)3
Advertisements
Solution
(3p + 4q)3
Comparing (3p + 4q)3 with (a + b)3 we have a = 3p and b = 4q
(a + b)3 = a3 + 3a2b + 3ab2 + b2
(3p + 4q)3 = (3p)3 + 3(3p)2(4q) + 3(3p)(4q)2 + (4q)3
= 33p3 + 3(9p2)(4q) + 9p(16q2) – 43q3
= 27p3 + 108p2q + 144pq3 + 64q3
APPEARS IN
RELATED QUESTIONS
Find the cube of: `( 3a - 1/a ) (a ≠ 0 )`
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 a ≠ 0 and `a - 1/a` = 4 ; find : `( a^3 - 1/a^3 )`
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
Find the cube of: `4"p" - (1)/"p"`
If a + b + c = 0; then show that a3 + b3 + c3 = 3abc.
If a + 2b + c = 0; then show that a3 + 8b3 + c3 = 6abc
Expand: (41)3
(p + q)(p2 – pq + q2) is equal to _____________
