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Maths

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how do you do binomial expansion when the power is a negative

There is a simple equation, similar to the normal binomial expansion, thats easy to remember once youve used it a few times.

(1+x)ⁿ=1+nx+{[n(n-1)]/2!}x²+{[n(n-1)(n-2)]/3!}x

Answered by Sarah M. • Maths tutor

9603 Views

Why does differentiation give us the results that it does?

A quick analysis here is based on the fact that y=(x²). A big change is worked out between two points. The gradient between x=1 and x=2 is equal to 3. BUT we know the gradient is constantly cha...

Answered by Alexander A. • Maths tutor

3686 Views

If I have a picture of a graph f(x), how can I draw what |f(x)| and 3f(x-2) look like?

This is about a topic called graph transformations. It can get quite complicated, but the lucky thing here is that each question can be broken down into steps.

So considering the first question wit...

Answered by Jamie H. • Maths tutor

7890 Views

How was the quadratic formula obtained.

We want a solution to ax^2+bx+c=0. Complete the square to get a[(x+b/2a)^2 -(b^2)/(4a^2)]+c=0. Expalding brackets and rearanging gets a(x+b/2a)^2=(b^2)/4a -c. Divide by a to get (x+b/2a)^2= b^2/4a^2 -c/a=...

Answered by Jon H. • Maths tutor

3494 Views