How do you multiply #(x^3+1 )/(x^3-x^2+x)*(3x)/(-12x - 12)#?

Answer 1

use of two things
factorization of the numerator and denominator
cancelling out the common terms

#(x^3+1)/(x^3-x^2+x).(3x)/(-12x-12)#
if you see carefully we can take out -12 common from (12x-12) term, x from #(x^3-x^2+x)# doing so
#(x^3+1)/((x)(x^2-x+1)).(3x)/((-12).(x+1))#

now cancelling x and dividing 12 with 3 we get

#(x^3+1)/(x^2-x+1).(1)/((-4).(x+1))#
multiplying #(x^2-x+1)# and #(x+1)# we get
#(x^3+1)/(x^3-x^2+x+x^2-x+1).(1)/((-4))#

now cancelling the common terms in denominator we get

#(x^3+1)/(x^3+1).(1)/((-4))#

now cancelling common terms in numerator and denominator

we get the final answer to be

#(1)/((-4))# or #(-1)/(4)#

please feel free to update the answer if it is wrong

Cheerio!

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Answer 2

To multiply the given expression, we can follow these steps:

Step 1: Simplify the expression in the numerator and denominator separately. Numerator: (x^3 + 1) Denominator: (x^3 - x^2 + x)

Step 2: Multiply the simplified numerator by the simplified denominator. (x^3 + 1) * (3x) / (x^3 - x^2 + x) * (-12x - 12)

Step 3: Expand and combine like terms in the numerator and denominator. (3x^4 + 3x) / (-12x^4 + 12x^3 - 12x^2 - 12x)

Therefore, the simplified expression is (3x^4 + 3x) / (-12x^4 + 12x^3 - 12x^2 - 12x).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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