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LHS: Factorise numerator and denominator, which gives:((2x - 7)(x + 2))/((x + 2)(x + 4))Cancel out (x + 2), gives:(2x - 7)/(x + 4)Multiply both sides by (x + 4)(x + 3) to cancel the denominators, gives:(2...

Let n be any whole number. Any odd number can be written as 2n+1. Any odd number squared is therefore (2n+2)²=2n2n+22n+1=4n²+4n+1=4(n²+n)+1. n²+n is a ...

We know that the 2nd term has a value of 8. Thus a + 6b = 8;What is more, we also know that the 5th term has a value of 44. We also know that the next element in the sequence increases by 4b when compared...

200/(2+3) = 40402 = 80403 = 120£80:£120

By Pythagoras’s theorem, a²+b²= c². So x²= 9+16=25 and so by finding the square root of 25, x=5