Expand and simplify (x+1)(2x+3).

We first expand the first set of brackets by multiplying each element of it by the second set of brackets so (x + 1)(2x + 3) = (x)(2x + 3) + (1)(2x + 3) = x(2x + 3) + (2x + 3). We can then expand out the first set of brackets brackets to get x(2x + 3) = 2x2 + 3x. The second set of brackets needs no expanding as there is nothing to multiply it by so we simply remove these brackets. This gives us (x + 1)(2x + 3) = 2x2 + 3x + 2x + 3. We can then simplify this by adding together the x and the 2x and the x is raised to the same power in both. This gives us (x + 1)(2x + 3) = 2x2 + 5x + 3.

Answered by Matthew L. Maths tutor

8167 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Why does the translation y=f(x+2) translate the graph f(x) 2 units left instead of 2 to the right?


How do you factorise a quadratic equation where the coefficient of x² isn't 1?


what is differentiation for?


Why doesn't (a+b)^2 = a^2+b^2


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