Okay let’s do the same thing but as I said guys, factorize anything if you can by taking out common factors. Here, 3 is common! Here, x is common! So I just took them out as common factors. That’s the first thing I always want to do. Now let’s factorize the numerators by using our quadratics. So x and x, 9 it will be 3 and 3. So 3x plus 3x is 6x which is exactly right.
Now over here, I’m going to use x and x and I’m going to use negative 3. I’m going to use negative negative because that’s negative. So that’s negative 3 and negative 3. So if you add them together we get negative 6x which is that. So now the numerators I can make it x plus 3, x plus 3 for here, and x minus 3, x minus 3 for here.
And let’s cross anything out! This and this is common! That and that is common! x minus 3x minus 3 is common! Nothing else! So we’ve just got x plus 3 on the numerator and 3 and x on the denominator like that. That is the answer. Nice and Simple.
Algebra Algebraic Fractions Arc Binomial Expansion Capacity Common Difference Common Ratio Differentiation Double-Angle Formula Equation Exponent Exponential Function Factorials Factorise Functions Geometric Sequence Geometric Series Index Laws Inequality Integration Kinematics Length Conversion Logarithm Logarithmic Functions Mass Conversion Mathematical Induction Measurement Perfect Square Perimeter Prime Factorisation Probability Product Rule Proof Quadratic Quadratic Factorise Ratio Rational Functions Sequence Sketching Graphs Surds Time Transformation Trigonometric Functions Trigonometric Properties Volume