In order to solve this you need to factor the denominator. x^2 +4x - 12 I see that 12 is a product of 6 and 2 and 4 and 3 and 1 and 12. I pick the two products that, when added together, give me the 4x term. Here it's 6 and two I just need to make one of them a negative. now put them in this form: (x + 6)(x-2) In the fraction I see that there is an x-2 in the numerator. This can cancel out with the x-2 in the denominator. Now you have 1/x-6 but remember you can never have a zero in the denominator so x can't equal -6. And you're done!
Cube a to cube b is 1:3. This is a one-to-one measure. If we want volume ratios, we have to take the one-to-one ratios and cube them. Like this: which simplifies to . This means that the volume of the smaller object is 27 times smaller than the volume of the larger.
