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Solve: 6x + 3 = 3x + 9

There are a few ways to tackle this particular style of problem. First off we can try doing it without using any bracket theory and just focus on the raw numbers (a somewhat simpler approach). Step 1: We'...

CG
Answered by Calum G. • Maths tutor
8204 Views

prove that (3x+1)^2 - (3x-1)^2 is a multiple of 4 for all positive integer values of x

(3x + 1)2 = 9x2 + 6x + 1 (3x - 1)2 = 9x2 - 6x + 1 (9x2 + 6x + 1) - (9x2 - 6x + 1) = 12x 12x/4 = 3x Therefore for all positive integers of ...

KJ
Answered by Katie J. • Maths tutor
6996 Views

Differentiate the following function u = Cos(x3)

 u = Cos(x3)

To differentiate this function we will use the chain rule. Firstly we will set x3  to another variable name such as v. So now v = x3 . Lets differentia...

SB
Answered by Serena B. • Maths tutor
3864 Views

Prove that the sqrt(2) is irrational

To do this we will assume sqrt(2) is rational, a fraction, which means: 21/2 = m/n; m,n belong to integers. Also, m/n is an irreductible fraction

JC
Answered by Joao C. • Maths tutor
3948 Views

Expand and simplify 2(a + 3) + 5(a – 1)

Firstly we will start by expanding the brackets. We will do 2a + 23 for the first bracket,  then we will do 5a + 5(-1) for the second bracket which will give us 2a + 6 + 5a - 5. We will ...

SB
Answered by Serena B. • Maths tutor
5075 Views

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