Question

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

Answer 1

We have :-

• Length of rectangle = a² + ab + b²
• Breadth of rectangle = a – b

To find :-

• find the Area of Rectangle .

Formula used :-

• Area of rectangle = Length × Breadth .

Solution :-

Area of Rectangle = Length × Breadth .

Put the values of Length and Breadth in the formula we get :-

Area of Rectangle = ( a² + ab + b² )( a – b )

= a³ – a²b + a²b – ab² + ab² – b³

= a³ – b³

here, (–a²b) and (+a²b) will cancelled also (– ab²) and (+ ab²) will also cancelled .

Concept :-

• (–) + (–) = (–)
• (–) + (+) = (–)
• (+) + (+) = (+)
• (+) + (–) = (–)

Hence, Area of Rectangle is a³ – b³.

Answer 2

Answer:

Length of rectangle = a² + ab + b²

Breadth of rectangle = a – b

To find :-

find the Area of Rectangle .

Formula used :-

Area of rectangle = Length × Breadth .

Put the values of Length and Breadth in the formula we get :-

Area of Rectangle = ( a² + ab + b² )( a – b )

= a³ – a²b + a²b – ab² + ab² – b³

= a³ – b³

here, (–a²b) and (+a²b) will cancelled also (– ab²) and (+ ab²) will also cancelled .

Concept :-

+1-1 = 0 therefore -x+x = 0

Hence, Area of Rectangle is a³ – b³.

Step-by-step explanation: