How do I expand (2x+5)(9x-2)?

First, remember that a set of closed brackets directly beside a single term/another set indicates that they are being multiplied. The key to expansions like this is to do it a particular order every time to ensure that you have expanded fully. I like to use the first term in the first bracket as the starting point.
Multiply the first term in the first bracket by the first term in the second bracket.2x X 9x = 18x2Then multiply the first term in the first bracket by the second term in the second bracket. Remember to consider whether a term is positive or negative!2x X (-2) = -4x
Now we move on to the second term in the first bracket. Multiply the second term in the first bracket by the first term in the second bracket. 5 X 9x = 45xThen multiply the second term in the the first bracket by the second term in the second bracket.5 X (-2) = -10
List all of these terms and combine and like terms (bold) for your final answer:18x2 - 4x +45x -10≡ 18x2 +41x -10

ME
Answered by Meron E. Maths tutor

3054 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the inequality 6y+5>8?


How do I solve simultaneous equations?


2435 units of gas used in November, costing 4.12p per unit. The gas company also charge 9.43p per day. The total cost has an additional 5% in VAT. What is the gas bill for the month of November?


White paint costs £2.80 per litre. Blue paint costs £3.50 per litre. White paint and blue paint are mixed in the ratio 3 : 2. Work out the cost of 18 litres of the mixture.


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 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences