Question

The adjacent sides of a rectangle are 3x2
-2xy+5y2
and 2x2+5xy-3y2

.Find the area of the rectangle.

Answer 1

6-2y+5y22*2+5y-3y2

6-2y+10y22+5y-3y2

6+3y+10y22-3y2

3y-3y2+10y22+6

Answer 2

Answer:

= (x5 – 4x4y + 2x3y2 + 20x2y3 – 35xy4) sq. unit

Step-by-step explanation:

Reqd. area =  (x2 – 4xy + 7y2) (x3 – 5xy2)

= x2(x3 – 5xy2) – 4xy (x3 – 5xy2) + 7y2 (x3 – 5xy2)

= x5 – 5x3y2 – 4x4y + 20x2y3 + 7x3y2 – 35xy4

= x5 + (7 – 5)x3y2 – 4x4y + 20x2y3 – 35xy4

= x5 + 2x3y2 – 4x4y + 20x2y3 – 35xy4

= (x5 – 4x4y + 2x3y2 + 20x2y3 – 35xy4) sq. unit