Questions on powers, the laws of indices, and exponential growth.

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Given a factor of a cubic polynomial, factorise it fully by first dividing by the given factor, then factorising the remaining quadratic.

Given a number evaluate simple power, negative power, to one half.

Given a number evaluate simple power, negative power, to one half.

Integration by Parts

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Find the nth term of an Arithmetic progression

Find the sum of the first n terms of an arithmetic progression

Solving arithmetic progressions using simultaneous equations

Integration using partial fractions

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Solving arithmetic progressions using simultaneous equations

Find the nth term of a Geometric progression

Find the sum of the first n terms of a Geometric progression

Solving for a geometric series

Solving for a geometric series

Solving for a geometric series

Binomial series for Natural exponent

Find the first three terms in the binomial series expansion having a non-Natural exponent

Find the first 3 terms of Binomial series having a Natural exponent

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