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Factorise the numerator: x^2 + x - 6 = (x+3)(x-2)

Factorise the denominator: 3x^2 + 9x = 3x(x+3)

Cancel '(x+3)'

Answer: (x-2)/3x

It can be argued that to a large extent, by 1540 that the religious society in England can be considered Catholicism without the Pope. Initially when the reformation began Henry pushed for a very protesta...

Proof by induction

Base Case when n=1 

LHS = 1^3=1 RHS= 1/4(1^2)(1+1)^2=1/4(1)(2^2)=1/4(4)

Assume true for n=k 

so  ∑r^3= 1/4k^2(k+1)^2

For n=k+1 

∑r^3 = ∑k terms...

sin^2(x) + sin(x) + cos^2(x) + cos(x) = cos(x)sin(x) + cos(x) + sin(x) +1

(sin^2(x) + cos^2(x) =1) Therefore;

1 +sin(x) + cos(x) = cos(x)sin(x) + sin(x) +cos(x) +1

Cancelling out on b...

Whilst the US Constitution makes no reference to which is more important than the other, the Senate can be seen as more important for a number of reasons. Senators are elected every six years, as opposed ...