Quote:
x^b + y^d can't be combined.
(a + b)^n does not equal a^n + b^n it is (a + b)(a + b) [due to PEMDAS]
2 * x/3 = 2x/3 whenever you're multiplying a number by a fraction the number goes on top
3 * 2/3 = 6/3 = 2
Difference of squares:: VERY IMPORTANT:: x^2 - y^2 ALWAYS equals (x - y)(x + y)
examples:
9 - 4 = 3^2 - 2^2 = (3 -2) (3+2) = 5
4x^2 - y^2 = (2x)^2 - y^2 = ((2x) - y) ((2x) + y)
Basically you can have a lot of fun with that, you use difference of squares a lot when you have to "reduce" a big complex fraction thingy.
5x - 3 = -3 + 5x why?
a + b = b + a
a - b = a + -b since this is still a - b so now you can flip the terms
-b + a = a - b
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