Question

3. A square painting has an area of 81x2 - 90x + 25. A second

square painting has an area of 25x2 + 30x + 9. What is an
expression that represents the difference of the areas of the
paintings Hint: Difference means subtract the trinomials.

Answer 1

1st painting is (9x - 5)(9x -5)

2nd painting is (5x+3)(5x+3)

81x^2 -90x + 25 - 25x^2 - 30x - 9

56x^2- 120x + 16

8(x - 2)(7x - 1)