Question

examples of (a - b)(a ^ 2 - ab + b ^ 2) = a ^ 3 - b ^ 3​

Answer 1

Step-by-step explanation:

We know that one of the algebraic formula is a

3

−b

3

=(a−b)(a

2

+b

2

+ab), therefore, we solve the given expression

=

a

2

+b

2

+ab

a

3

−b

3

using the above formula as shown below:

=

a

2

+b

2

+ab

a

3

−b

3

=

a

2

+b

2

+ab

(a−b)(a

2

+b

2

+ab)

=a−b

Hence,

a

2

+b

2

+ab

a

3

−b

3

=a−b.