This is how I did it:8x3+4x2+6x+3[8x3+4x2]+[6x+3][(4x2)(2x+1)]+[(3)(2x+1)]....as you can see, this is in the general form of ab+cb, which factored is b(a+c), so:(2x+1)(4x2+3)
8
8x + 6 = 2x + 24 To solve, collect like terms on each side; collect the x's on the left, the numbers on the right: 8X + 6 = 2x + 24 8x - 2x = 24 - 6 6x = 18 6x / 6 = 18 / 6 x = 3
-1-2x-4x=19-6x-1 = -19x = 3
8x2 + 15 + 26x = 8x2 + 26x + 15 = 8x2 + 20x + 6x + 15 = 4x(2x + 5) + 3(2x + 5) = (2x + 5)(4x + 3)
6X + 3 = 2X + 19Subtract 3 from each side:6X = 2X +16Subtract 2X:4X = 16Divide by 4X = 4
9 - 3(2x - 4) 9 - 6x - 12 6x - 3
8x2 + 6x - 9 = 8x2 + 12x - 6x - 9 = 4x(2x + 3) - 3(2x + 3) = (2x + 3)(4x - 3)
If 2x-y = 4 then 6x -3 years =?
6x + 9 = -3 6x/3 + 9/3 = -3/3 2x + 3 = -1 2x + 3 - 3 = -1 - 3 2x = -4 2x/2 = -4/2 x = -2
6x - 3 = 2x + 1Add 3 to each side:6x = 2x + 4Subtract 2x from each side:4x = 4Divide each side by 4:x = 1
6x + 3 = 3(2x + 1)
8x^3 - 12x^2 + 6x - 9 = (8x^3 - 12x^2) + (6x - 9) = 4x^2(2x - 3) + 3(2x - 3) = (4x^2 + 3)(2x - 3)
2x+9=6x-3 Therefore 4x=12 -->x=3
4x2 - 12x + 9 = 4x2 - 6x - 6x + 9 = 2x(2x - 3) - 3(2x - 3) = (2x - 3)(2x - 3) or (2x - 3)2
6x - 3 = 2x + 1Add 3 to each side:6x = 2x + 4Subtract 2x from each side:4x = 4Divide each side by 4:x = 1
6x - 2x - 3 = 31 grouping the expressions with x: 6x - 2x = 31 + 3 simplifying: 4x = 34 solving for x x = 34/4 = 8.5