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Factorise z^3+1 into a linear and quadratic factor. Let y=(1+i√3)/2. Show that y is a cube root of -1. Show that y^2=y-1. Find the value of (1-y)^6.

To factorise z 3 +1 into a linear and quadratic factor, it is best to try the factor theorem first. We set the equation to zero: z 3 +1=0.We need to find a value of z such that the above is true. By inspecti...
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Answered by Henry L. • Maths tutor
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Explain how nerve impulses are transmitted along and between neurones

Transmitting Along Neurones When a nerve cell is not stimulated, it is in a resting state. During this state, the inside of the axon is relatively more negative than outside of the axon, this is called the r...
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Answered by Alisa H. • Biology tutor
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Make y the subject of (y/x)+(2y/(x+4))=3

We want to make y the subject of the equation and so we need to write it in the form y=f(x) where f(x) is a function in terms of x.When rearranging equations with fractions for a certain subject, factorising...
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Answered by Henry L. • Maths tutor
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The Cold War: Analyse the part played by Cuba in the development of the Cold War

Towards the later half of the Cold War, Cuba played an increasingly larger role in the development of international tensions. It not only served as the backdrop for various events, such as the Cuban revoluti...
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Answered by Charles A. • History tutor
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The Cold War: To what extent was Germany the cause of East-West disagreements between 1945 and 1961?

During the period between 1945 and 1961, Germany played an incredibly significant part in the Cold War, and it can be argued that it served as the cause of East-West disagreements between 1945 and 1961. Howe...
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Answered by Charles A. • History tutor
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