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How do I factorise x^2 + 8x + 15?

Factorising is the process of putting brackets into an equation. Ideally the end equation should be as simple as possible, with the smallest numbers possible. The first step is to find the factor pairs of th...
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Answered by Chloe B. • Maths tutor
51661 Views

How do I expand and simplify linear equations?

Let's take the example: 3( x + 2) + 2( x - 1) Start with the first part: 3( x + 2) We have to multiply what is outside of the bracket with the individual things inside the bracket sparately and add them toge...
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Answered by Alexis O. • Maths tutor
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Show that the integral of tan(x) is ln|sec(x)| + C where C is a constant.

First, recall that tan(x) can be rewritten in terms of sine and cosine. tan(x) = sin(x)/cos(x) The rephrasing of our question suggests that we should try the substitution rule of integration. We should subst...
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Answered by Anja S. • Maths tutor
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Solve the inequality 4x^2​>5x-1

We first rearrange the inequality to obtain 4x 2 -5x+1>0 Initially we approach this as if it were 4x 2 -5x+1=y, looking for y=0 We then look for solutions, the most general way is to use the quadratic for...
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Answered by Christopher L. • Maths tutor
9671 Views

How do I plot y=x^2-1?

To plot any graph, you need to find out where the curve cuts the x and y-axis, and where it's stationary points are, aswell as what type of stationary point you have. Here are the steps: 1) Let x=0; find whe...
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Answered by Laura P. • Maths tutor
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