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(3x - y)(3x - y) - 81
3x y^3
9x2 + 24xy + 16y2 = 9x2 + 12xy + 12xy + 16y2 = 3x(3x + 4y) + 4y(3x + 4y) = (3x + 4y)*(3x + 4y) = (3x + 4y)2
If y = 9x2 + 12x + 4 Then the y intercept will be when x = 0, which is 4: y = 9(0)2 + 12(0) + 4 y = 0 + 0 + 4 y = 4 The x intercept will happen when y = 0, which we can work out by finding factors of the equation and determining x values that give us a zero y value: 9x2 + 12x + 4 = 0 9x2 + 6x + 6x + 4 = 0 3x(3x + 2) + 2(3x + 2) = 0 (3x + 2)(3x + 2) = 0 (3x + 2)2 = 0 3x + 2 = 0 3x = -2 x = - 2/3 So the x intercept is at -2/3 and the y intercept is at 4.
It can be simplified in the form of: 2x3+9x2-7x-34 = 0
(3x + y)(3x - y)
(3x - y)(3x - y)
(3x - y)(3x - y) - 81
3x y^3
9x2 - 6xy + y2 - 81 = (3x - y)2 - 81 (since the first three terms make a perfect square = (3x - y - 9)(3x - y + 9) since the expression now is a difference of two squares.
9x^2-6xy+y^2 = (y-3x)^2 (y-3x)^2-81 -> ((y-3x)+9)((y-3x)-9)
9x2 + 24xy + 16y2 = 9x2 + 12xy + 12xy + 16y2 = 3x(3x + 4y) + 4y(3x + 4y) = (3x + 4y)*(3x + 4y) = (3x + 4y)2
9x2 - 6xy + y2 - 81 = (3x - y)2 - 81 = (3x - y - 9)*(3x - y + 9)
9x2 - 6xy + y2 - 81 = (3x - y)2 - 92 = (3x - y - 9)(3x - y + 9)
If y = 9x2 + 12x + 4 Then the y intercept will be when x = 0, which is 4: y = 9(0)2 + 12(0) + 4 y = 0 + 0 + 4 y = 4 The x intercept will happen when y = 0, which we can work out by finding factors of the equation and determining x values that give us a zero y value: 9x2 + 12x + 4 = 0 9x2 + 6x + 6x + 4 = 0 3x(3x + 2) + 2(3x + 2) = 0 (3x + 2)(3x + 2) = 0 (3x + 2)2 = 0 3x + 2 = 0 3x = -2 x = - 2/3 So the x intercept is at -2/3 and the y intercept is at 4.
9y-81=9*(y-9)
7x2 + y