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Factorise: y = x^2 + 5x + 6

With quadratic equations, there are two ways in which to answer
Firstly (and most simply), look for two numbers that multiply to make c and add up to make b in the equation y = ax2 + bx +...

Answered by Adnan N. Maths tutor
4581 Views

Can you show me why the integral of 1/x is the natural log of x?

We can break this down into steps, going deeper each time. First we might just say: well, since integration is fundamentally the inverse process of differentiation and we know that the derivative of ln(x)...

Answered by James L. Maths tutor
7220 Views

How do you expand brackets?

Let's have a look at a pair of brackets: (a+b)(c+d)To expand these brackets each value in one bracket must be multiplied by all values in the other bracket separately then added together. So we have: ac+a...

Answered by Phoebe B. Maths tutor
2927 Views

why is (x+y)^2 ≠ x^2 + y^2

Because if we simply expand (x+y)2 we'd get x2+y2+2xy which shows that there's an extra term which is 2xy. another practical way to check your work and see why LHS ≠ RHS i...

Answered by Jamal H. Maths tutor
2630 Views

How do I work out how a number is written in fraction form, if it is a reoccurring decimal?


If I have a reocurring decimal I use a special trick to work it out as a fraction. The trick is to try and cancel out the reocurring bit by multiplying by 10 several times and then using subtractio...

Answered by Jasmin D. Maths tutor
2751 Views

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