Question

How do you factor the following polymonial completely; 245v^2-180?

Answer 1

245v^2-180
5(49v^2-34)

Answer 2

for factoring these type of question, first try to solve it using 'Theory of equations.

Answer 3

First factor out the GCF, then see if it's a difference of two squares, and continue factoring if it is.

Answer 4

@uri, 5*34 is not equal to 180 :P

Answer 5

Factor out the GCF of 5, \[\Large 245v^2-180 = 5(49v^2 - 36)\]

Notice what's inside the brackets is a difference of two squares and can be written like so \[\Large 5(49v^2 - 36) = 5 \left[ (7v)^2 - (6)^2 \right]\]
Diff of two squares is:
\[\Large a^2 - b^2 = (a+b)(a-b)\]

Answer 6

Thx, agent0smith. I appreciate ur help with this...