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Factorise fully the following: 12x^3 + 3x^2 + 15x

To factorise an equation entirely it is necessary to think of the commonality between all terms. In this case, not only 'x' is common in all the parts of the equation, but also '3'. Knowing this informati...

HB
Answered by Helena B. Maths tutor
4106 Views

Critically discuss the doctrine of Parliamentary Sovereignty by reference to relevant case law

In countries with a written constitution, it is the codified constitution document which is the pinnacle of their legal systems and it is that which bestows legal validity on other laws. However, this is ...

RZ
Answered by Rabab Z. Law tutor
7105 Views

A metal Sphere of radius Ym is melted down and remade into a cylinder of the same volume with height Ym with circular ends of radius 3m, find Y

The sphere has radius Y, so the volume of the sphere is 4/3 (pi) Y3 , The volume is the same for the cyclinder so we know the volume of the cylinder in terms of Y. Cyclinder volume = area of ci...

JC
Answered by James C. Maths tutor
2971 Views

Given that p≥ -1 , prove by induction that, for all integers n≥1 , (1+p)^k ≥ 1+k*p.

First of all, we need to show that the statement is true for the base case n=1. For this case the expression becomes: 1+p≥1+p, which is clearly true as both sides are equal and hence solve the inequality....

EB
5076 Views

What is Pythagoras's theorem?

Pythagoras's theorem is used to calculate the lengths of the sides of right-angled triangles. The theorem can be used to find the length of the third side of a right-angled triangle, as l...

SJ
Answered by Samuel J. Maths tutor
3625 Views

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