Expand the following: (4x+7)(7x-2)

Using the FOIL (Firsts, Outsides, Insides, Lasts) mnemonic, you can expand these two brackets. F: 4x x 7x = 28x^2 O: 4x x -2 = -8x I: 7 x 7x = 49x L: 7 x -2 = -14 Therefore the expansion as a whole is: 28x^2 - 8x + 49x - 14 This expression can be simplified further by collecting the like terms ie. the "x" terms, giving: Answer = 28x^2 + 41x - 14

GP
Answered by Gem P. Maths tutor

4711 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve this set of linear equation to find x and y: 1. 8x + 2y =48 2. 7x +3y =47


Aled has three concrete slabs. Two of the slabs are square, with each side of length x metres. The third slab is rectangular and measures 1 metre by (x +1) metres. The three concrete slabs cover an area of 7m^2. Show that 2x^2 + x – 6 = 0. Find x.


Work Out (2+11/15 )-(1+1/3)


Factorise 2*x^2 - 4*x - 6


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning