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Prove that (3n+1)²-(3n-1)² is a multiple of 4 taking into account that n is a positive integer value

  1. Square the brackets (3n+1)²= (3n+1)(3n+1) = 9n²+3n+3n+1 = 9n²+6n+1 (3n-1)²= (3n-1)(3n-1) = 9n²-3n-3n+1 = 9n²-6n+12. Write out the full equation (9n²+6n+1) - (9n²-6n+1) = 9n²+6n+1-9n²+6n-1 = 12n3. Ex...
NK
Answered by Nalin K. Maths tutor
6521 Views

How do you solve two simultaneous equations? (i.e. 5x + y =21 and x - 3y =9)

There are two ways of solving the simultaneous equations. The easiest one is to write two equations beneath each other and then try to get either x or y values the same on both of them by multiplying the ...

PM
Answered by Paulina M. Maths tutor
2832 Views

Explain the process of how giraffes may have evolved to have long necks (6 marks)

There is natural variation in the lengths of giraffes' necks. As there will be competition for food with other giraffes and other species, those with longer necks would r...

KS
Answered by Kate S. Biology tutor
8603 Views

How does a vaccination protect an individual from illness and how is the spread of a pathogen reduced by immunising a large proportion of the population?

In a vaccination there are small quantities of a dead or inactive version of the pathogen.When you inject it into the individual's body ...

CD
Answered by Ciara D. Biology tutor
3914 Views

List the main structural differences between a typical animal, plant and bacteria cell

Plant and bacterial cells have a cell wall made of different material. Plant cell walls are primarily made of cellulose whereas bacterial cell walls are made of peptidoglycan. Animal cells lack cell walls...

AK
Answered by Andreas K. Biology tutor
17749 Views

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