How do you multiply #(6x)/10*(6x)/(3x^3)# and state the excluded values?

Answer 1

Like any fraction multiply the tops multiply the bottoms and divide out common factors.

# (6x)/10 xx (6x)/(3x^3) = (36x^2)/(30x^3)# factoring this gives.
# (36x^2)/ (30x^3) = ( 2 xx 3 xx 6 xx x^2)/ ( 2 xx 3 xx 5 xx x^2 xx x)#
dividing out the common factors of # ( 2 xx 3 xx x^2)# leaves
# 6/(5x)#
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Answer 2

To multiply (6x)/10*(6x)/(3x^3), we can simplify the expression by canceling out common factors in the numerator and denominator.

First, we can simplify the numerator by multiplying 6x and 6x, which gives us 36x^2.

Next, we can simplify the denominator by multiplying 10 and 3x^3, which gives us 30x^3.

Therefore, the simplified expression is (36x^2)/(30x^3).

To simplify this further, we can cancel out common factors in the numerator and denominator. Both 36 and 30 have a common factor of 6, and x^2 and x^3 have a common factor of x.

After canceling out these common factors, we are left with (6x)/(5x).

The excluded values are the values of x that would make the denominator equal to zero. In this case, x cannot be equal to zero, as it would result in division by zero.

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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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