Algebra Question...?

Question

Factor completely. Then choose the correct answer
(^=to the power of)

v^2 – 25

the answer can be

(v – 5)^2
or
(v^2 – 5)^2
or
(v + 5)(v – 5)
or
(v – 5)(v – 5)


i appreciate it tons!!

Answer 1

This is a difference of squares. The rule is always:
a² - b² = (a + b)(a - b)

You can expand the expression on the right to confirm this:
a² -ab +ab - b²
= a² - b²

Anyway, your answer should be option C:
(v + 5)(v - 5)

Use FOIL to expand it out, if you aren't convinced:
(v + 5)(v - 5)
= v² - 5v + 5v - 25
= v² - 25

Answer 2

Hey there!

Use the Difference of Two Squares Formula.

a^2-b^2=(a+b)(a-b)

So:

v^2-5^2=(v-5)(v+5) (replace 25 with 5^2).

So the answer is (v+5)(v-5).

Hope it helps!

Answer 3

(v + 5)(v – 5)


=]

Answer 4

(v+5)(v-5)
c if its a square...meaning the v^2 can be square rooted equally and so can the 25
then find the squares..in this case v and 5...cause v(v) is v^2 and 5(5) is 25
okay since the 25 is -25 u hav 2 hav one 5 be negative...so factor out and u get...yea

or u can do a diamond problem thing..if u no wat that is...

Answer 5

difference of two squares , so:

v^2 - 25 = (v-5)(v+5) = (v+5)(v-5).

Answer 6

(v+5)(v-5)

Answer 7

its (v+5)(v-5) through the difference of squares formula

Answer 8

easy - since you have N^2 and only - 25
with no middle - - has to be + and -

because 2 - (V-5)(V-5) is the same as (V-5)^2
and yields v^2 -10V+25 because minus times minus = +