Expand and simplify (x-3)(2x+4y)^2

The first step is to expand the (2x+4y)^2 bracket. Start by writing out (2x+4y)(2x+4y) and multiply out. A simple way to do this is by using the 'foil' method - multiply the 'first' terms in each bracket, followed by the 'outside' terms, the 'inside' terms and finally the 'last' terms. This gives 4x^2+8xy+8xy+16y^2. This can be simplified by collecting like terms. There are two 'xy' terms in the equation, which can be combined, giving 4x^2+16xy+16y^2. The second step is to multiply this equation by (x-3). The best way to do this is to multiply all terms by x, followed by multiplying all terms by -3. This gives 4x^3+16x^2y+16xy^2-12x^2-48xy-48y^2.

Answered by Ella M. Maths tutor

3285 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve 2x^2 = 162


How can I solve quadratic equations by completing the square?


How do I do algebra when there is an x on both sides?


How do I convert the following, 0.089, into standard form?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences