The binomial expansion of (3+2x)4(3 + 2x)^4(3+2x)4 is given by
(3+2x)4=A+Bx+216x2+Dx3+16x4(3 + 2x)^4 = A + Bx + 216x^2 + Dx^3 + 16x^4(3+2x)4=A+Bx+216x2+Dx3+16x4
Find the value of AAA and the value of BBB.
Show that
(3+2x)4−(3−2x)4=Cx+Dx3(3 + 2x)^4 - (3 - 2x)^4 = Cx + Dx^3(3+2x)4−(3−2x)4=Cx+Dx3
where CCC and DDD are constants to be found.
Hence, or otherwise, find
∫((3+2x)4−(3−2x)4)dx\int \left( (3 + 2x)^4 - (3 - 2x)^4 \right) dx∫((3+2x)4−(3−2x)4)dx
Practise Edexcel A Level Maths Binomial Expansion with exam-style questions for A Level Maths. 100 questions covering 4.1 Expanding (1 + x)^n, 4.2 Expanding (a + bx)^n, and 4.3 Using Partial Fractions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.