Solve

Guides

0

You visited us 0 times! Enjoying our articles? Unlock Full Access!

Question

$(a + b)^{3} - (a - b)^{3} = . . . . . . . . . .$

$b^{3} + 3 a^{2} b$
$2 (b^{3} + 3 a^{2} b)$
$2 (a^{3} + 3 a b^{2})$
$0$

A

b^{3} + 3 a^{2} b

B

0

C

2 (b^{3} + 3 a^{2} b)

D

2 (a^{3} + 3 a b^{2})

Open in App

Solution

Verified by Toppr

$(a + b)^{3} - (a - b)^{3}$
$= (a^{3} + b^{3} + 3 a^{2} b + 3 a b^{2}) - (a^{3} - b^{3} - 3 a^{2} b + 3 a b^{2})$
$= 2 (b^{3} + 3 a^{2} b)$

Was this answer helpful?

0

Similar Questions

Q1

Among the following, the correct statement is

i)

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

ii)

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

View Solution

Q2

Which of the following is an expansion of the identity ${(a - b)}^{3}$ ?

View Solution

Q3

Prove:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

.

View Solution

Q4

Verify:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

.

View Solution

Q5

a³ − 3a²b + 3ab² − b³ + 8

View Solution