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

Answer 1

Kennedy Adams

#=(x - 3)/(4(x - 3)) xx (3(x + 3))/(4(x + 3))#

#= (cancel(x - 3))/(4(cancel(x - 3))) xx (3(cancel(x + 3)))/(4(cancel(x + 3))#

#=3/16#

Hopefully this helps!

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Answer 2

Jace Anderson

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

First, let's factor out the common factors in each expression: (x-3)/(4x-12) = (x-3)/4(x-3) = 1/4 (3x+9)/(4x+12) = 3(x+3)/4(x+3) = 3/4

Now, we can multiply the simplified expressions: (1/4) * (3/4) = 3/16

Therefore, the simplified expression is 3/16.

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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.