Find the Binomial Expansion of (1-5x)^4.

First I would set up how i was taught using Pascals Triange. As this is to the power of 4 the numbers across will be 1 4 6 4 1.Then I would multiply each number by the correct power of either (-5x) or (1). As I know that if (-5x) is to the power of 2, 1 must be to the power of 2.
This gives me (1 * (1)^4 * (-5x)^0) + (1 * (1)^3 * (-5x)^1) + (1 * (1)^2 * (-5x)^2) + (1 * (1)^1 * (-5x)^3) + (1 * (1)^0 * (-5x)^4).
Anything to the power of 0 is 1 and using this I get the answer1 - 5x + 25x^2 - 125x^3 + 625x^4

MV

Related Maths A Level answers

All answers ▸

What is a Tree Diagram?


How can I find all the solutions to cos(3x) = sqrt(2)/2 for 0<=x<=2pi ?


If y = 2(x^2+1)^3, what is dy/dx?


Express the fraction (p+q)/(p-q) in the form m+n√2, where p=3-2√2 and q=2-√2.