a3 b3 formula

Answer: The formula of (a + b)³ is a³ + b³ + 3ab (a + b).

The formula of (a³ + b³) is (a + b) (a² – ab + b²).

The formula of (a – b)³ is a³ – b³ – 3ab (a-b).

The formula of (a³ – b³) is (a – b) (a² + ab + b²).

The above equations can be proved true by assuming a value for ‘a’ as well as ‘b’. Let us take ‘a’ = 1 and ‘b’ = 2.

To prove (a + b)³ is a³ + b³ + 3ab (a + b), put a =1 and b = 2 in this equation.

First we will solve LHS = (a + b)³

= (1+2)³

= (3)³

= 27.

Now, take the RHS = a³ + b³ + 3ab (a + b)

= (1)³ + (2)³ + 3 x 1 x 2 (1+2)

= 1 + 8 + 6 (3)

= 1+ 8 + 18

= 27.

Here LHS = RHS, hence the equation is correct.

By following the same steps, other equations can also be verified.

Summary:

a³ b³ formula

The formula of (a + b)³, (a³ + b³), (a – b)³, and (a³ – b³) with example have been presented in this post. Check the details above.