Question

PASCALS TRIANGLE!

I just need to make sure I have done it right.
question: expand (2x+1)^4
my answer: 2x^10+14

Answer 1

I think this is not the right answer.

Answer 2

You should see that,
\[(ax+b)^4=(ax)^4+4(ax)^3b+6(ax)^2b^2+4(ax)b^3+b^4\]

Answer 3

You can check it manually doing,
\[(2x+1)(2x+1)(2x+1)(2x+1)\]

Answer 4

I am having trouble simplifying it. After I plugged in all the numbers, I got:
\[(2x)^4+4(2x)^3(1)^1+6(2x)^2(1)^2+4(2x)^1(1)^3+(1)^4\]

Answer 5

Perfect. Now you should write,
\[16x^4+32x^3+24x^2+8x+1\]