Prove that the difference between the squares of two consecutive odd numbers is a multiple of 8.
(2n+3)2-(2n+1)2=(4n2+12n+9)-(4n2+4n+1)=8n+8= 8(n+1)Hence a multiple of 8
DB
Related Maths GCSE answers
All answers ▸Solve 5(x + 3) < 60
Factorise: 3x^2 - 9x - 30
√3(√30 + √8) can be simplified into the follwing format: x√10 + y√6 where are x and y are integers. Find the value of x and y.
A is the point with coordinates (5, 9) B is the point with coordinates (d, 15). The gradient of the line AB is 3. Work out the value of d.