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.
MJ
Related Maths GCSE answers
All answers ▸Solve the simultaneous equations: 2x+y=18 and x-y=6
Solve the simultaneous equations “x^2+y^2=4” and “x=2-y”. What does this tell us about the circle centred on the origin, with radius 2, and the straight line with y-intercept 2 and gradient -1?
Solve the following pair of simultaneous equations: 2y - x = 3, y + 4x = 4
Solve 4(x-5)=3x-6