Question

If a=6 and b=5, what is the value of the following expression: (a-b)(a^2 + ab + b^2)?

Answer 1

The value of the expression (a-b)(a^2 + ab + b^2) when a=6 and b=5 is 91.

Step-by-step explanation:

To find the value of the expression (a-b)(a2 + ab + b2) when a=6 and b=5, we need to substitute the values of a and b into the expression.

Let's substitute a and b into the expression:

Simplify the expression within the parentheses:

• (6-5)(62 + (6)(5) + 52)

Add the terms inside the parentheses:

• (1)(36 + 30 + 25)

Multiply by the coefficient outside the parentheses:

• (1)(91)
• 91

Therefore, the value of the expression when a=6 and b=5 is 91.