Expand and simplify 3(m+4)-2(4m+1)

The first step is to expand out the brackets, we can do this more simply by splitting the equation into two parts. In order to expand the first half of the equation, 3(m+4), you must times both m and 4 by the number outside the brackets, in this case 3. Therefore, the expanded equation comes out to 3m+12. The same applies for the second half of the equation which is -2(4m+1), you must times both 4m and 1 by -2, so the expanded equation comes to -8m-2. When both halves are put back together the final expanded equation comes out to 3m+12-8m-2. In order to simplify this equation, you must collect like terms, in practice this simply means you must only add or subtract m's from other m's and sole numbers from sole numbers. 3m-8m is equal to -5m and 12-2 is equal to 10, therefore the final answer is 10-5m.

Answered by Kwabena A. Maths tutor

4567 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Factorise fully: 3x - 9x^2


In a right angle triangle (where angle ABC is 90 degrees), you are given that angle /_ ACB is 14 degrees and length "AB" is 4. Find the length of "BC".


Evaluate 3 /5 + 1/ 4


A rectangle has an area of 20 cm2. Its lengths are enlarged by a factor of 3. What is the area of the new rectangle?


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