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First of all we need to get all of the x's on one side and all the numbers on the other side. Therefore to do this firstly we should add 2 to both sides. 8x > 4x +8 Secondly we need to -4x from both si...

25% = 0.25 or also one fourth of the total. Therefore if you divide 400 by 4, this equals 100. One fourth of 400 is 100. 

a) Differentiating gives d²y/dx²=-4x^-3-1/4

b) Let dy/dx=0 and rearrange to find x=2

c) Inserting x=2 into d²y/dx²=-4x^-3-1/4 ...

Euclid's algorithm is really useful to be able to, firstly, see if two numbers are co-prime, in other words to see if they share any common factors, but also to find solutions to equations. Say we have tw...

(x+2)(x-3)(x+4)^2 = (x^2 - x - 6)(x^2 + 8x + 16) = (x^4 + 8x^3 +16x^2 - x^3 - 8x^2 -16x - 6x^2 - 48x - 96) 

= x^4 +7x^3 + 2x^2 - 64x - 96)