b represents a number
^ represents raised to a power
(x - b)(x^2+ bx +b^2)
For example: (X^3 - 27)
(x - 3)(x^2 + 3x + 3^2)
= (x - 3)(x^2 + 3x + 9)
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the derivative of 3x is 3 the derivative of x cubed is 3 times x squared
Your answer will depend on the parameters of the instructions. If you're looking for the first derivative, simply use the product rule by changing the denominator to a negative exponent and bringing it up (take the negative square root of the quantity x-2 to the top). Then, follow the rules of calculus and algebra. Wow, that's a mess. Let's see... you get "the quantity x cubed plus 6x squared plus 3x plus 1 times the quantity -1(x-2) raised to the negative second plus the quantity x-2 raised to the negative first times the quantity 3x squared plus 12x plus 3." This is because of the Product Rule. Simplifying (by factoring out (x-2) raised to the negative second and combining like terms) gives us "(x-2) raised to the negative second times the quantity 2x cubed minus 24x minus 7." This can also be written as "2x cubed minus 24x minus 7 all over the quantity x-2 squared." f'(x)= 2x^3-24x-7 (x-2)^2
It is an expression, in a variable x. Since it is not an equation, it cannot be solved.
x to the 5th power times y to the fourth power
Since you add up the 'x''s (i.e. (2x) (3x) (4x) = 24x cubed) 6x2