This expression is clearly non-negative for , equal to zero for , and positive for , giving the claim. (One could simplify here as if desired, though it is not strictly necessary to do so for the proof.) Remark 6 As with Remark 4, one can also establish the identity (14) first ...
Why do we simplify radicals? 1 Expert Answer Simplifying radical expressions expression isimportant before addition or subtraction because it you need to which like terms can be added or subtracted. If we hadn't simplified the radical expressions, we would not have come to this solution. What is...
To simplify the exposition, we will also assume that is fixed by the square root of ; in the opposite case when has order two when acting on , the argument is essentially the same, but all references to in the second factor of need to be replaced by (we leave the details to the ...
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Simplify x + 2(x − [3x − 8] + 3) This is just an order of operations problem with a variable in it. If I work carefully from the inside out, paying careful attention to my "minus" signs (that is to say, being careful to carry "minus" signs with the terms to which they...
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In dividing polynomials, we can use two methods which are the long method and the synthetic division. On the other hand, if we are given a rational expression, we can factor the numerator first so that we can cancel terms and find the quotient....
Evaluating Expressions and PolynomialsExpressions & PolysFunctionsPurplemathWhat is "evaluation" in math?"Evaluation" mostly means "simplifying an expression down to a single numerical value". Sometimes you will be given a numerical expression, wher all you have to do is simplify; that is more of...
\(\begin{array}{l}Simplify:\ \frac{7x+5}{x-4}-\frac{6x-1}{x-3}-\frac{1}{x^2-7x+12}=1\end{array} \) Solution: Consider, x2– 7x + 12 = x2– 3x – 4x + 12 = x(x – 3) – 4(x – 3) = (x – 4)(x – 3) ...