Check your Understanding Find the product of each of the following.
1. (5x - 3)(3x + 5)
2. (4ab + 3c)(5ab + 7c)
3. (6xy - 9z)(6xy + 9z)
4. (3a2b + 2ab2)(3a2b - 2ab)
5. (x2 + 4y)2
6. (3m - 2n2)2
7. (p2 + 2q)
8. (3xy - 1)
9. (3x - 4)(9x2 + 12x + 16)
10. (2x + 5)(4x2 - 10x + 25)

If a is a nonzero real number then the reciprocal of a is

Find the missing dimension extra points

Is there a direction u in which the rate of change of f(x,y)equals=x squared minus 3 xy plus 4 y squaredx2−3xy+4y2 at p(1,2) equals 14? give reasons for your answer. choose the correct answer below. a. no. the given rate of change is smaller than the minimum rate of change. b. no. the given rate of change is larger than the maximum rate of change. c. yes. the given rate of change is larger than the minimum rate of change and smaller than the maximum rate of change.