Question

(x+3)(x^4-4x^2+5) can you show me the steps to to simplify

Answer 1

ok so here what we have to do is simplify :P obviously but the question is how... right?

Answer 2

i just stared to learn
this and i need to know what steps to do first

Answer 3

well i want to engage you so that you can understand it better :)

Answer 4

ok so what step do i do first

Answer 5

ok so with simplification of such an expression, you just have to use the distributive property :) do you know what that is?

Answer 6

well this is what the distributive property says,
\[\huge a(b+c)=ab+bc \]
but in this case, we have something a little bit different so what we have to do is expand this
\[\huge (x+3)(x^4-4x^2+5)\]
which will become
\[\huge x(x^4-4x^2+5)+3(x^4-4x^2+5) \]
do you see what i did there?

Answer 7

Does the question ask you "to simplify" ? Because all you can do is either (1) expand or (2) factor. Neither is really simplifying in this case.

Answer 8

well it is already factored...

Answer 9

\[x^2=t\]
\[t^2-4t+5=t^2-4t+4+1=0\]
\[(t-2)^2+1=0\]
\[t-2=\pm i\]
\[t=2\pm i\]
\[x^2=2\pm i\]
\[x=\pm \sqrt{2\pm i}\]

Answer 10

\[(x-3)(x-\sqrt{2-i})(x-\sqrt{2+i})(x+\sqrt{2-i})(x+\sqrt{2+i})\]