I am having some serious trouble. An example question that is shown to me is as follows:
The example shows this work to solve the problem:
which is then simplified to get the answer m2 / 2n3
I am COMPLETELY lost as to how they factored(?) the denominator in the second expression. I have looked at multiple examples and it's just not clicking. I understand every other part of this problem and similar problems, but that bolded part has me completely stumped.
For clarity, here is another example. I am not understanding how the example is coming up with that simplification for the second denominator.
Any advice?
Code:
3m[SUP]4[/SUP]n[SUP]7[/SUP] / m-5n * 2m-10n / 12m[SUP]2[/SUP]n[SUP]10[/SUP]
Code:
= 3m[SUP]4[/SUP]n[SUP]7[/SUP] / m-5n * 2(m-5n) / [B]2 * 3m[SUP]2[/SUP]n[SUP]7[/SUP]2n[SUP]3[/SUP][/B]
I am COMPLETELY lost as to how they factored(?) the denominator in the second expression. I have looked at multiple examples and it's just not clicking. I understand every other part of this problem and similar problems, but that bolded part has me completely stumped.
For clarity, here is another example. I am not understanding how the example is coming up with that simplification for the second denominator.
Code:
a[SUP]3[/SUP]b[SUP]5[/SUP] / 5a-7b * 10a-14b / 6a[SUP]2[/SUP]b[SUP]10[/SUP]
=a[SUP]2[/SUP]b[SUP]5[/SUP]a / 5a-7b * 2(5a-7b) / 2a[SUP]2[/SUP]b[SUP]5[/SUP]3b[SUP]5[/SUP]
=a / 3b[SUP]5[/SUP]
Any advice?