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Expand the expression (1+3x)^1/3 up to the term x^3.

= 1 + 3x 1/3 + (1/3 -2/3)(3x)^2 + (1/3*-2/3*-5/3)(3x)^3 = 1 + x - 2x^2 + 10x^3
PV
Answered by Pearl V. • Maths tutor
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Pushing a mass up a slope and energy

Please note: knowledge of the SUVAT equations, friction and trigonometry is required for this thread. Energy comes in many forms, and here we will focus on kinetic energy (KE) and potential energy (PE). Belo...
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Answered by Daniel S. • Maths tutor
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What is a Tree Diagram?

A Tree Diagram is a useful tool to calculate probabilities. By drawing a "Tree Diagram" and writing down all possible outcomes, it is very easy to calculate simple probabilities by moving through t...
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Answered by Fahmeed R. • Maths tutor
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How do i solve differential equations?

To solve differential equations we use a method called separation of variables. This is where we take all the ‘y’ values to one side of the equation and all the ‘x’ values to the other side of the equation m...
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Answered by Stephen S. • Maths tutor
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Factorize completely x^3 - 6x^2 + 11x - 6

Let f(x) = x^3 - 6x^2 + 11x - 6. Try x = 1： f(1) = 1 - 6 + 11 - 6 = 0 So x - 1 is a factot of f(x). Try x = 2： f(2) = 8 - 24 + 22 - 6 = 0 So x - 2 is a factot of f(x). Try x = 3： f(3) = 27 - 54 + 33 - 6 = 0 ...
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Answered by Kai W. • Maths tutor
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