HPC Chapter 1 Quiz with complete
solutions
A^2 - B^2 - ANS ✔(A+B)(A-B)
(A+B)^2 - ANS ✔A^2+2AB+B^2
(A-B)^2 - ANS ✔A^2-2AB+B^2
(A+B)^3 - ANS ✔A^3+3A^2B+3AB^2+B^3
(A-B)^3 - ANS ✔A^3-3A^2B+3AB^2-B^3
A^3-B^3 - ANS ✔(A-B)(A^2+AB+B^2)
A^3+B^3 - ANS ✔(A+B)(A^2-AB+B^2)
domain of 1/x - ANS ✔(-infinity, 0) U (0, infinity)
domain of square root of x - ANS ✔[0, infinity)
domain of 1/square root of x - ANS ✔(0, infinity)
Quadratic Formula - ANS ✔x = -b ± √(b² - 4ac)/2a
solutions
A^2 - B^2 - ANS ✔(A+B)(A-B)
(A+B)^2 - ANS ✔A^2+2AB+B^2
(A-B)^2 - ANS ✔A^2-2AB+B^2
(A+B)^3 - ANS ✔A^3+3A^2B+3AB^2+B^3
(A-B)^3 - ANS ✔A^3-3A^2B+3AB^2-B^3
A^3-B^3 - ANS ✔(A-B)(A^2+AB+B^2)
A^3+B^3 - ANS ✔(A+B)(A^2-AB+B^2)
domain of 1/x - ANS ✔(-infinity, 0) U (0, infinity)
domain of square root of x - ANS ✔[0, infinity)
domain of 1/square root of x - ANS ✔(0, infinity)
Quadratic Formula - ANS ✔x = -b ± √(b² - 4ac)/2a
