Question: Simplify the following expression.

(2x5^n)^2 + 25^n

this whole equation is divided by

5^n

Answer; 5^n+1

Remarks: I have tried doing this question twice but both attempts were unsuccesful. Please help.

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- Jun 16th 2010, 11:12 AMeconloverAn algebra question
Question: Simplify the following expression.

(2x5^n)^2 + 25^n

this whole equation is divided by

5^n

Answer; 5^n+1

Remarks: I have tried doing this question twice but both attempts were unsuccesful. Please help. - Jun 16th 2010, 11:28 AMearboth
- Jun 16th 2010, 11:33 AMeconloverslight question
Thanks.

I understand most of it but how did you move along from the 1st step of your answer to the second one

that is, in specific terms, where did the 4 go? - Jun 16th 2010, 11:39 AMSpringFan25
considering the numerator (top of fraction) only:

- Jun 16th 2010, 11:41 AMeconlover
Thanks for the message. But I guess you misinterpret the sign of this "."

It is not 4.5 (4 decimal 5) but 4 . 5 meaning 4 x 5 = 4 times 5

Hope this clears up the misconception - Jun 16th 2010, 11:47 AMeconlover
Still don't understand this step. Where did the 1 come from ? What about the positive sign?

Can someone explain? Thanks! - Jun 16th 2010, 12:18 PMSpringFan25
it is only factorising. i was not interpreting your dot as a decimal.

in general:

4x + x = (4+1)x = 5x

You have

=

Which says: "4 lots of plus 1 lot of " equals "5 lots of " - Jun 17th 2010, 02:03 PMbjhopper