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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...

We can solve simultaneous equations one of two ways. We can either substitute one equation into the other or we can eliminate one of the unknowns only leaving us one to deal with. I will explain both meth...

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...