# How do you multiply #(6x^2 + x - 12 )/(2x^2 - 5x - 12 )*(3x^2 - 14x + 8)/( 9x^2 - 18x + 8)#?

It may help to factor each of the quadratics into linear factors first - There may be some terms we can eliminate :-)

So

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You can factorize all these quadratic equations first.

In order to factorize them, all tou need to do is find its roots and then turn each root into a factor by equaling it to zero.

Now, we can proceed to cancel some binomials that are both dividing and multiplying this equation.

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To multiply the given expressions, you need to multiply the numerators together and multiply the denominators together. Then simplify the resulting expression if possible.

The numerator of the product will be (6x^2 + x - 12) * (3x^2 - 14x + 8).

The denominator of the product will be (2x^2 - 5x - 12) * (9x^2 - 18x + 8).

Multiplying the numerators and denominators, we get:

Numerator: (6x^2 + x - 12) * (3x^2 - 14x + 8) = 18x^4 - 84x^3 + 48x^2 + 3x^3 - 14x^2 + 8x - 12x^2 + 56x - 32 = 18x^4 - 81x^3 + 22x^2 + 64x - 32.

Denominator: (2x^2 - 5x - 12) * (9x^2 - 18x + 8) = 18x^4 - 81x^3 + 22x^2 + 64x - 32.

Therefore, the simplified expression is (18x^4 - 81x^3 + 22x^2 + 64x - 32) / (18x^4 - 81x^3 + 22x^2 + 64x - 32).

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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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