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Molecules or ions which improve the activity of an enzyme are classified as cofactors, coenzymes, or prosthetic groups. Cofactors are often ions, and coenzymes and prosthetic groups are larger molecules. ...

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...