(5x - 7)(7x + 5)
3(2) + 24x + 48 = 0 6 + 24x + 48 = 0 24x + 54 = 0 24x + 54 - 54 = 0 - 54 24x = -54 24x/24 = -54/24 x = -9/4 x = -2 1/4
The answer is, 24x
8x-7y=42 24x+y=170 An easy way to begin is to solve for one variable in one of your two equations. I will use the second equation to solve for y: 24x+y=170 y=170-24x This solution for y will then be plugged into the first equation so the equation will be of one variable, and therefore solvable: 8x-7y=42 8x-7(170-24x)=42 8x-1190+168x=42 176x=1232 x=1232/176=7 x=7 The solution we made for y can now be used with the solved value of x to find y's numerical value. y=170-24x y=170-24(7) y=170-168 y=2 So, finally, we get that x=7 and y=2
(24x)^5 - (24x)^3 + (16x)^2 - 16 This can be simplified multiple ways: 1. pull (24x)^3 out of the first two terms and 16 out of the second two. (24x)^3((24x)^2-1) + 16(16x^2-1) 2. just pull 8 out of everything 8(3*(24x)^4-3*(24x)^2+32x^2-2) ...
4x-7=24x=9 x=9/4
GCD(15x, 24x) = 3x
24x^5 + 24x^3 = 24x^3(x^2 + 1)
5x^2-24x+11
3x2-24x-48 is not factorable.
4x + 7 - 8x = 17-4x + 7 = 17-4x = 24x = -6
-45