Search over 10,000 free study notes

This is a modulus question, asking us to solve for x. As there are two variables in this equation, it is impossible for us to solve for an actual number, so we are asked to answer in terms of a. The easie...

Partial fractions is a method of expressing a single fraction with multiple factors in the denominator as a sum of fractions. First we must factorise the denominator (bottom of the fraction).x²...

First, you have to differentiate the equation to find the first derivative. Once you do this, you then set the derivative to equal zero and find the corresponding x value. This number is the x-value of th...

To satisfy the condition of substracting two fractions with unlike denominators, a common denominator needs to be found. By recognizing x^2 - 9 = (x-3)(x+3), we can rewrite the question as 4x/(x-3)(x+3) -...

Start with the left hand side (LHS) of the equation. r^2(r + 1)^2 - r^2(r - 1)^2Take the equivalent terms from the separate parts of the LHS outside of set of brackets.r^2[(r + 1)^2 - (r - 1)^2]Expand t...