How do you simplify # x^3 + x^4 #?

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Answer 1 · 2018-06-15T13:59:33

See a solution process below:

First, rewrite each term as:

#(color(red)(x^3) xx 1) + (color(red)(x^3) xx x)#

Now, factor out the common term:

#color(red)(x^3)(1 + x)#

Or

#color(red)(x^3)(x + 1)#

Answer 2 · 2018-06-15T15:16:30

Hmm...

We can't really simplify this equation anymore, as adding it just gives out the same result: #x^3+x^4#.

However, we can factor this expression, and the highest common factor is #x^3#, and so we get:

#=x^3(x+1)#

or

#=x^3(1+x)#