Question

please anyone give me the Answer Of number 5 with the process

Answer 1

Answer:

Step-by-step explanation:

YOUR QUESTION - If two adjacent sides of a rectangle are (5x2 + 25xy + 4y2) and (2x2 – 2xy + 3y2), find its area

Area of a rectangle is just the product of its adjacent sides:

 Area = (5x2 + 25xy + 4y2)(2x2 - 2xy + 3y2)

=  5x2 *(2x2 - 2xy + 3y2) + 25xy*(2x2 - 2xy + 3y2) + 4y2*(2x2 - 2xy + 3y2)

= 10x4 - 10x3y +15x2y2   +  50x3y -50 x2y2 +75xy3   + 8x2y2 - 8 xy3 + 12y4

= 10x4 + 40x3y - 20x2y2 + 67xy2 + 12y4