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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

9929 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

3797 Views

2^6*2^10=?

When multiplying two same numbers with powers, we add the powers together. The answer of this question would be 2^16, which is also 65536.

Answered by Hamza H. • Maths tutor

2951 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

8191 Views

Show that 12 cos 30° - 2 tan 60° can be written in the form root (k) where k is an integer.

To answer these questions, students must know the values of cos30 and tan60. If you don't know them off by heart, you can work them out using an equilateral triangle.

cos 30° = adj / hyp =...

Answered by Marco A. • Maths tutor

4550 Views