11
For example, (x3)(x4) = (x3+4) = x7 Also, (x5)2 = x(5)(2) = x10
0
125 * x3 = (5x)3
An expression. It can be factored out slightly too: 2x6 + 5x3 - 7x4 = x3(2x3 - 7x + 5)
It is an algebraic expression.
x3-y3
When it is of the form x3 + y3 or x3 - y3. x or y can have coefficients that are perfect cubes, or even ratios of perfect cubes eg x3 + (8/27)y3.
x6 - y6 = (x3)2 - (y3)2 = (x3 + y3) (x3 - y3) = (x + y)(x2 - xy + y2)(x - y)(x2 + xy + y2)
3xyz
The required result will be 3xyz
(x2 - xy + y2)(x + y)
(x4 + y4)/(x + y) = Quotient = x3 - x2y + xy2 - y3 Remainder = - 2y4/(x+y) So, x3 - x2y + xy2 - y3 - 2y4/(x+y)
(x - y)(x^2 + xy + y^2
42
(x + y)3 + (x - y)3 = (x3 + 3x2y + 3xy2 + y3) + (x3 - 3x2y + 3xy2 - y3) = 2x3 + 6xy2 = 2x*(x2 + 3y2)
x-9+y3