c is a positive integer. Prove that (6c^3+30c) / ( 3c^2 +15) is an even number.
Our starting equation (6c3+30c) / ( 3c2 +15) can be factorised by 6c on the top row and 3 on the bottom row so you get 6c(c2+5) / 3(c2+5). Because (c2+5) is on the top and bottom row it can be cancelled out so you have 6c / 3. This can be further simplified as 6c / 3 can be split into 6/3 x c/1 and because 6/3 = 2 this gives us 2 x c/1 = 2 x c = 2c. Therefore the answer will be a multiple of 2, so the answer will be even.
LA
Related Maths GCSE answers
All answers ▸What is Pythagorus Theorem ? Find the length of BC if given a right angle triangle ABC where AB is 8cm and the length of the hypotenuse AC is 10cm ?
Find the derivative y= x^2-6x+20?
p and q are two numbers each greater than zero. √(p^2 + 5q) = 8 and √(p^2 – 3q) = 6. Find the values of p and q.
Make y the subject of the following equation: 2x - y = 5