Can you please explain how to expand two brackets, eg. (3x-7)(5x+6)

When I am expanding brackets I use the acronym FOIL and simplify. You begin by multiply the first term (F) in each bracket, followed by multiplying the outside terms (O), then the inside terms (I) and finally the last terms (L) in each bracket. Once the brackets have been expanded, it might be possible to simplify this expression. Answers should always be left in the simplest form.(3x-7)(5x+6)=3x(5x)+3x(6)+(-7)(5x)+(-7)(6)=15x2+18x-35x-42=15x2-17x-42

Answered by Maths tutor

4864 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The line L has equation y=5-2x. Find an equation of the line perpendicular to L, which passes through the point P (3,-1).


Find the equation of the tangent to the curve y=x^3-4x^2+2 at the point (3,-7)


Differentiate the following, y=(2x-4)^3


Consider the functions f(x) = −x^3 + 2x^2 + 3x and g(x) = −x^3 + 3x^2 − x + 3. (a) Find df/dx (x) and hence show that f(x) has turning points at when x = 2 /3 ± √ 13/ 3 . [5] (b) Find the points where f(x) and g(x) intersect. [4]


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