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(X2 + 2X)/(X + 2)
factor on top
X(X + 2)/(X + 2)
you have the right to cancel common factors top and bottom
= X
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4
(2x+3)(x+3)
Because you are just adding the same variable to itself, the variable does not change. in the same way that 2 + 2 is 4, 2x2 + 2x2 is 4x2.
(5x 2 - 8x + 1) + (2x 2 - 4x - 11)
It is impossible but if it were x squared plus 2x minus 15 the equation would be (x+5) (x-3) with x being equal to either -5 or 3. If the original problem was x squared minus 2x minus 15 the equation would be (x-5)(x+3) and x would be equal to either 5 or -3