0 then Prove: If a, b, c, a, and M are constants and M 2 су — Мx* ах*у" + bxy 0 ba c constant) if and only if aa (a - 1) = Ax" (A Ур has a particular solution

EXERCISE 4 Fully simplify each of the following expressions. 2. (За — 1. (2x + y)(3x² + 2xy + 5y²) 3. (x- у)(3х - 2ху + 4) 5. (7m – 3n)(5m² – 2mn – 7n²) 7. (2x-y)(4x2 + 2xy – y²) 9. (4m – n)(2m² - 3mn – n2) 11. (2x- y)(2x + y)(3x – 5xy – y) 13. (9m – n)(3m² – mn + 2n2) 15. 5(a - b)(a² + ab + b²) 17. 2(3p+ q)(9p² - 3pq + q) 19. 3(2x + 1)(x² - 5x- 1) 4. (5p– 6. (a2 - 8. (3x 10. 2(8 12. (3a 14. (p 16. (2. 18. -3 20. racket. 15

8. Which of the following has no solution? A. -Vx = 5 B. Vx =5 C. -V =-5 D. -3/x = -15 9. What is the expanded form of (V6x+3–1)? - A. 6x+4-2/6x+3 В. бх- 4-2бх+3 C. 6x+4+2/6x+3 D. 6x-4+2/6x+3 10. What is the value of the variable m in this equation: -3/m +5=11? С. 4 А. -4 В. —10 D. no solution

A manufacturer supplies refrigerators to two stores, A and B. The manager esti- mates that if x refrigerators are delivered to store A and y units to store B each month, the monthly profit will be P(x, y) pesos, where Р(т, у) — — 2r* - Зху — 2у+ 20х + 40y — 300. Each month, the company can produce exactly 700 refrigerators. How many refrig- erators should be supplied to store A and how many to store B in order to maximize monthly profit?