9x2 + 9x - 10 =(3x - 2)(3x + 5)
Factor: 9x2 - 25.
9x2 + 12x + 4 = 9x2 + 6x + 6x + 4 = 3x(3x + 2) + 2(3x + 2) = (3x + 2)(3x + 2) = (3x + 2)2
9x2 + 6x + 1 = 9x2 + 3x + 3x + 1 = 3x(3x + 1) + 1(3x + 1) = (3x + 1)(3x + 1) or (3x +1)2
9x2
(3x - y)(3x - y)
3x
(3x - y)(3x - y) - 81
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.
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)
(-3x - 1)(3x - 7)
9x2 + 9x - 10 =(3x - 2)(3x + 5)
Factor: 9x2 - 25.
64y3 - 216x3 factors to -8(3x - 2y)(9x2 + 6xy + 4y2) 49x2 - 16y2 factors to (7x - 4y)(7x + 4y)
9x2 + 12x + 4 = 9x2 + 6x + 6x + 4 = 3x(3x + 2) + 2(3x + 2) = (3x + 2)(3x + 2) = (3x + 2)2
(3x + 4)(3x + 4)