Simplify this algebraic fraction: 2(x+8) + 2(x+6) / x^2 - 49
Let's start with the numerator. According to BIDMAS we first expand the brackets: 2x+16+2x+12 Now add the like terms: 4x+28We can now take 4 out as a factor: 4(x+7)Now looking at the denominator we can recognise the 'difference of two squares'. We know 49 is 7 squared so we can factorise this: (x+7)(x-7)Now both the numerator and denominator are simplified, we can cancel the common factor seen in both which is (x+7)Now we have simplified this fraction as much as we can: 4 / x-7
PB
Related Maths GCSE answers
All answers ▸How do tree diagrams work? Consider: A bag contains 5 red counters and 3 blue counters. James draws a counter from the bag at random and keeps it. James then draws a second counter at random. What is the probability that James takes two red counters?
The equation of line L1 is y=3x-5. The equation of line L2 is 2y-6x+5=0. Show that these two lines are parallel.
In a village the number of houses and the number of flats are in the ratio 7 : 4 the number of flats and the number of bungalows are in the ratio 8 : 5 There are 50 bungalows in the village. How many houses are there in the village?
How do I solve simultaneous equations given a linear and a quadratic equation?