Factoring Help(algebra)?

Question

It asks to FACTOR COMPLETELY.

25x^2 +30x+9

I also need help on this one...

it asks, CHANGE TO SIMPLEST FORM: 25/2 is surrounded by a big square root. how do i figure that out?

thanks in advance!

Answer 1

The answer to the question 25x^2+30x+9 is (5x+3)(5x+3).

and im not sure about 25/2. do you mean 25^2 square rooted? because that would be 25. why? because 25^2= 625. the square root of 625 is 25.  

Answer 2

(Ax+B)^2 = A^2*x^2 +2AB*x + B^2

25x^2 = (5x)^2

30x = 2*5x*3

9 = 3^2

Thus, 25x^2 +30x+9 = (5x +3)25x^2 +30x = (5x+3)^2

Answer 3

For the second one:

A square root of X/Y is the same as

sqrtX/sqrtY

Example: square root of 25/9

square root of 25 = 5

square root of 9 = 3

answer = 5/3

In some cases, you can only reduce either the numerator or the denominator, like square root of 2/16

square root of 2 = (already reduced to simplest form)

square root of 16 = 4

answer: (square root of 2) / 4

Make sense?