Simplify fully (x^2 + 3x)/(4x + 12)
You should begin by factorising the numerator and denominator, in order to determine what would go into both parts of the fraction.As you can see, x2 and 4x have 'x' in common, and 3x and 12 have '3' in common. Therefore the equation would equal what is shown below.(x2 + 3x)/(4x + 12) = (x(x + 3))/(4(x + 3))We see that both parts of the fraction have the common factor of (x + 3), so they cancel each other out.(x(x + 3))/(4(x + 3))This leaves the fraction fully simplified to x/4.
