FACTOR a 12 a2 b 18 ab2 b 4x2 9y2 c x2 9x 36 d 6x2 23x

FACTOR: a) 12 a^2 b - 18 ab^2 b) 4x^2 - 9y^2 c) x^2 + 9x - 36 d) 6x^2 - 23x + 20 FACTOR COMPLETELY a) 4x^3 - 100x b) 2x^2 - 10x - 48 Reduce: a^2 - 16/2a - 8 REDUCE: x^2 + 5x - 24/12 - 4x FIND THE FINAL AMOUNT IF^3 75, 432 IS INVESTED FOR 6 YEARS @ 2 1/4% COMPOUNDED CONTINUOUSLY. (TWO DECIMAL ACCURACY) COMBINE: 2x/5 - 3y/4 DIVIDE: 12a^3/2y + 6 12y - 36/y^2 - 9 SOLVE FOR x: 8^x = 8000 SOLVE FOR x: e^x = 500 SOLVE FOR x: 4e^2x = 600

Solution

10) a) 12a^2b – 18ab^2 = 6ab(2a – 3b)

b) 4x^2 – 9y^2 = (2x – 3y)(2x + 3y)

c) x^2 + 9x -36 = (x + 12)(x - 3)

d) 6x^2 – 23x + 20 = (2x - 5)(3x - 4)

11) a) 4x^3 – 100x = 4x(x + 5)(x - 5)

b) 2x^2 – 10x – 48 = 2(x - 8)(x + 3)

12) (a^2 - 16)/(2a - 8) = (a-4)(a+4)/2(a-4) = (a + 4)/2

13) (x^2 + 5x - 24)/(12 – 4x) = (x + 8)(x - 3)/[-4(x - 3)] = -(x + 8)/4