一个ll GMAT Math Resources
Example Questions
Example Question #31 :Simplifying Algebraic Expressions
Simplify:. Assumeis nonnegative.
is equal to,, and; combine these three properties as follows:
Example Question #32 :Simplifying Algebraic Expressions
Simplify:
The problem is easier if you recognize the two productsandas the factorizations of the sum and difference of two cubes, respectively:
Therefore,
Example Question #33 :Simplifying Algebraic Expressions
Simplify:
Multiply both numerator and denominator by common denominator:
The denominator is a prime polynomial, so this is in simplest form. This is the correct choice.
Example Question #34 :Simplifying Algebraic Expressions
Simplify:
You may assume all radicands assume positive values.
Factor the radicand first:
Therefore,
Example Question #35 :Simplifying Algebraic Expressions
Simplify:.
You may assume all radicands assume positive values.
Factor the radicand first:
Therefore,
Example Question #36 :Simplifying Algebraic Expressions
Which of the following is equal to the expression?
一个ssume all variables stand for nonnegative values.
None of the other responses is correct.
Example Question #31 :Simplifying Algebraic Expressions
Define an operationas follows:
For all real numbers,
Which of the following is equal to?
Example Question #38 :Simplifying Algebraic Expressions
Simplify the following expression:
Begin by dividing the fraction. We are dividing by, so simply subtract two from each of the exponents in the numerator.
So this:
becomes this:
Then, just combine like terms to finish up.
In red:
In green:
In blue:
So, we are left with:
Example Question #39 :Simplifying Algebraic Expressions
Simplify
In order to simplify, factor both the numerator and denominator and then simplify:
Factoring the numerator and denominator we get two binomial functions on top and on bottom.
Since (x+1) appears in both the numerator and the denominator they cancel eachother out and we are left with,
Example Question #40 :Simplifying Algebraic Expressions
Simplify
In order to simplify, first factor the numerator and denominator and then cancel out factors as needed:
Since (x+5) appears in both the numerator and denominator, they cancel eachother out.