Question

Write down the information in the form of algebraic expression and simplify. There is a

rectangular farm with length (2a

2 + 3b2) metre and breadth (a2 + b2) metre. The farmer

used a square shaped plot of the farm to build a house. The side of the plot was (a2 – b2)

metre. What is the area of the remaining part of the farm?​

Answer 1

Answer:

Step-by-step explanation:

Area of remaining part = area of rectangular farm - area of square house.

Area of rectangular farm= l xb

Area = (2a²+3b²)(a²+b²)

Area of rectangular farm = (2a⁴+5a²b²+ 3b⁴)

Area of square house= side X side

Area =(a²-b²)(a²-b²)

Area of square house= a⁴-2a²b²+b⁴

Remaining area = 2a⁴+5a²b²+3b⁴ -(a⁴ -2a²b²+b⁴)

Remaining area = a⁴+7a²b²+2b⁴