I'm not sure if, for example, "15x3" is 15 times 3 or 15x^3. However, I can answer both questions.
(15 times 3) - (20 times 2) - 5x --> 45 - 40 - 5x --> 5 - 5x. A "5" can be factored out, which will then lead to the result 5(1-x) or -5(x-1)
15x^3 - 20x^2 - 5x --> 5x(3x^2 - 4x - 1) --> I think this is the farthest it can be factored. Unless you find a way to get any two numbers to be able to multiply to the number -3x^2 and add to the number -4x.
20x2 + 22xy + 6y2 = 20x2 + 10xy + 12xy + 6y2 = 10x(2x + y) + 6y(2x + y) = (2x + y)(10x + 6y) = 2(2x + y)(5x + 3y)
(2x + 1)(5x - 6)
When factored it is: (x-9)(x+4)
3x2 - 5x - 2 can be factored into (3x + 1) (x - 2)
6x2-5x-25 = (3x+5)(2x-5) when factored
5x(3x+4)
It is: 5x
(a + 4)(a - 5)
10x2-36x+18 Divide all terms by 2: 5x2-18x+9 = (5x-3)(x-3) when factored
If you mean: 5x+35 then when factored it is 5(x+7)
20x2 - 27x -8 20 * -8 is -160, and -32 and 5 add to -27 20x2 - 32x + 5x - 8 4x(5x-8) + 1(5x-8) (4x + 1)(5x-8)
20x2 + 22xy + 6y2 = 20x2 + 10xy + 12xy + 6y2 = 10x(2x + y) + 6y(2x + y) = (2x + y)(10x + 6y) = 2(2x + y)(5x + 3y)
-(5x - 2)(4x - 3)
20x2 = 41x+9 20x2-41x-9 = 0 (5x+1)(4x-9) = 0 Therefore: x = -1/5 or x = 9/4
2x2+5x+3 = (2x+3)(x+1) when factored
6x2 + 5x - 6 is factored out to (2x + 3)(3x - 2).
2(5x + 3y)(2x + 5y)