The length and breath of a rectangle are (a^2 +ab +b^2) units and (a-b) units.Find the area of the rectangle.

Mathematics

1 answer:

pshichka [43]2 years ago

4 0

Answer:

a^3 - b^3.

Step-by-step explanation:

Area = length * breadth

= (a - b)(a^2 + ab + b^2)

= a(a^2 + ab + b^2) - b(a^2 + ab + b^2)

= a^3 + a^2b + ab^2 - a^2b - ab^2 - b^3

Note: the 4 middle terms cancel out. So the answer is

a^3 - b^3.

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