Advertisements
Advertisements
Question
Expand (3 + m)3
Sum
Advertisements
Solution
(3 + m)3
Comparing (3 + m)3 with (a + b)3 we have a = 3, b = m
(a + b)3 = a2 + 3a2b + 3ab2 + b3
(3 + m)3 = 33 + 3(3)2(m) + 3(3)m2 + m3
= 27 + 27m + 9m2 + m3
= m3 + 9m2 + 27m + 27
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Expand.
(7x + 8y)3
Find the cube of: `( 3a - 1/a ) (a ≠ 0 )`
If a + 2b = 5; then show that : a3 + 8b3 + 30ab = 125.
Expand : (3x + 5y + 2z) (3x - 5y + 2z)
If a ≠ 0 and `a - 1/a` = 4 ; find : `( a^4 + 1/a^4 )`
Find the cube of: `3"a" + (1)/(3"a")`
If `"r" - (1)/"r" = 4`; find : `"r"^3 - (1)/"r"^3`
If a + b = 5 and ab = 2, find a3 + b3.
Expand (3p + 4q)3
(p + q)(p2 – pq + q2) is equal to _____________
