50. (x-1)(x^3 + x^2 + x) =?
Thanks
-MC
What do you want done with it ?
expand it or factor further?
It would make sense to factor it
(x-1)(x^3 + x^2 + x)
=(x-1)(x)(x^2 - x + 1)
= x(x^3 - 1)
( you would have to know the difference of cubes factoring pattern)
It says to subtract it..
-MC
You posted it as
(x-1)(x^3 + x^2 + x) =?
there is no subtraction here.
PLease post the question as it appeared in your text or worksheet.
To find the value of (x-1)(x^3 + x^2 + x), you'll need to multiply the given expressions. Let's break it down step by step:
Step 1: Distribute (x-1) to every term inside the parentheses:
(x-1) * x^3 = x^4 - x^3
(x-1) * x^2 = x^3 - x^2
(x-1) * x = x^2 - x
Step 2: Add up the results from Step 1:
(x^4 - x^3) + (x^3 - x^2) + (x^2 - x)
Simplifying this expression, we can cancel out some of the like terms:
x^4 - x^3 + x^3 - x^2 + x^2 - x
Now, notice that the -x^3 and +x^3 terms cancel each other out. Similarly, the -x^2 and +x^2 terms cancel each other out. We are left with:
x^4 - x
So, the answer to (x-1)(x^3 + x^2 + x) is x^4 - x.
I hope this explanation was helpful! Let me know if you have any further questions.