How do you simplify #(x-3)/(4x-12) times( 3x+9)/(4x+12)#?

Answer 1

#3/16#

Before we can do any simplifying we need to factorise.

#(x-3)/(4x-12) times( 3x+9)/(4x+12)#
=#(x-3)/(4(x-3)) times( 3(x+3))/(4(x+3))#
=#(cancel(x-3))/(4cancel((x-3))) times( 3cancel((x+3)))/(4cancel((x+3))#
=#3/16#
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Answer 2

To simplify the expression (x-3)/(4x-12) times (3x+9)/(4x+12), we can cancel out common factors in the numerator and denominator.

First, we can factor out a 3 from the numerator and denominator of the second fraction, resulting in (x-3)/(4x-12) times (3(x+3))/(4x+12).

Next, we can cancel out the common factor of (x-3) in the numerator and denominator, leaving us with 3/(4x-12) times (3(x+3))/(4x+12).

Now, we can simplify further by canceling out the common factor of 3 in the numerator and denominator, resulting in 1/(4x-12) times (x+3)/(4x+12).

Finally, we can simplify the expression by multiplying the numerators together and the denominators together, giving us (x+3)/(16x^2 - 48).

Therefore, the simplified expression is (x+3)/(16x^2 - 48).

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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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