4a2 + 4ab - y2 + b2 You cannot simplify this expression because it does not contain like terms, but you can factor it such as: 4a2 + 4ab - y2 + b2 = (4a2 + 4ab + b2) - y2 = (2a + b)2 - y2 = [(2a + b) - y][(2a + b) + y]
All you can do to factor that expression is to divide both terms by y: y2 + 4y = y(y + 4)
If im not mistaken, it should be 2.
-9x 2 -12x+5 =
factor 4y - 32
(3x - y)(3x - y)
(3x - y)(3x - y) - 81
3x2(x2 - 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.
y4 - 256 = (y2 - 16)(y2 + 16) = (y - 4)(y + 4)(y2 + 16)
Factor: 9x2 - 25.
9y-81=9*(y-9)
To factor out the expression: x2y-y3 First factor out one "y": y(x2-y2) The expression x2-y2 is a difference of squares, which factors as well: (y)(x-y)(x+y) This is the simplest factoring of the original expression.
(y + 8)(y - 2)
4a2 + 4ab - y2 + b2 You cannot simplify this expression because it does not contain like terms, but you can factor it such as: 4a2 + 4ab - y2 + b2 = (4a2 + 4ab + b2) - y2 = (2a + b)2 - y2 = [(2a + b) - y][(2a + b) + y]
The property used to rewrite 9x2 + 9x3 is the Distributive Property. Using the Distributive Property the expression can be rewritten as 9x2 + 9x2 + 9x2 or 27x2.
All you can do to factor that expression is to divide both terms by y: y2 + 4y = y(y + 4)