Find the product of the following. i) –5a²bc, 6ab, 8abc² ii) –3x²y and (5y – xy) iii) x²y²z² and (xy – yz + zx) iv) (p + 6) and (q – 7) v) (2x + 7) and (x² – 5x + 6) vii) (x + y + 5) and (2x – 2y – 3)

[15 points]find the least common multiple of the expressions: 1. 3x^2, 6x - 18 2. 5x, 5x(x +2) 3. x^2 - 9, x + 3 4. x^2 - 3x - 10, x + 2 explain if possible

Worth 15 points handsome jack is buying a pony made of diamonds. the price of the pony is p dollars, and jack also has to pay a 25% diamond pony tax. which of the following expressions could represent how much jack pays in total for the pony? a= p = 1/4 b= p+0.25p c=(p + 1/4)p d=5/4p 0.25p choose 2 answers

Parabolas y=−2x^2 and y=2x^2+k intersect at points a and b that are in the third and the fourth quadrants respectively. find k if length of the segment ab is 5.