Question

(x+1)(x+1)^4

Answer 1

and what are we to do with this?

Answer 2

set it equal to 0 and solve? okay! x = -1

Answer 3

Simplify the expression. Assume that all variables represent nonzero numbers.

Answer 4

so it would just become x^4

Answer 5

\[x ^{4}\]

Answer 6

\[\large (x+1)^1(x+1)^4=(x+1)^5\]

Answer 7

yeah, what she said ^

Answer 8

Can you solve for x now?

Answer 9

if you did what I jokingly suggested, it would \[(-1+1)(-1+1)^4\]and hopefully you agree that evaluates to a big goose egg (0).

Answer 10

\[\large (x+1)^5 =0\] take the 5th root of both sides.\[\large \sqrt[5]{(x+1)^5}=0\]\[\large x+1=0\] Can you solve for this now?:)

Answer 11

x=-1

Answer 12

Sorry, \[\large \sqrt[5]{0}=0\]

Answer 13

Good job.

Answer 14

fortunately, they said simplify, and I think we'll all agree that actually expanding \[(x+1)(x+1)^4 = (x+1)^5 = x^5+5x^4+10x^3+10x^2+5x+1\]doesn't count as simplifying :-)

Answer 15

Simplify or expand.... whaat....