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

Answered by Mahomed-Umair V. Maths tutor

4858 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Solve the equation 3^(2x+1)=1000


Why do we have to use radians instead of degrees?


Find an equation for the straight line connecting point A (7,4) and point B(2,0)


Given that sin(x)^2 + cos(x)^2 = 1, show that sec(x)^2 - tan(x)^2 = 1 (2 marks). Hence solve for x: tan(x)^2 + cos(x) = 1, x ≠ (2n + 1)π and -2π < x =< 2π(3 marks)


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2024

Terms & Conditions|Privacy Policy