Question

simplify using factoring 96wx^3y^3z^3-144w^3xy^2z^3

Answer 1

Example:
ab + abc - abc^2
ab(1 + c + c^2)

does this help?

Answer 2

not exactly because im terrible at math

Answer 3

Example 2:

a^2b^2 + ab^2 + ab^3

ab^2(a + 1 + b)

Answer 4

Essentially you are pulling out common multiples from the equation

Answer 5

Exponent rule:
a^4 = a*a*a*a
a^3 = a*a*a
a^2 = a*a

Answer 6

does that include stuff like x^3 and x

Answer 7

if you multiply out

ab^2(a + 1 + b)
=
ab^2*a + ab^2*1 + ab^2*b

a^2b^2 + ab^2 + ab^3

Answer 8

yeah its a general case for any variable or number essentially exponents are an easier way to write out something that is being multiplied out repeatedly

Answer 9

so more examples

3^3 = 3*3*3
x^5 = x*x*x*x*x

Answer 10

so what do i do with the 96w and the 144w^3

Answer 11

Negative exponential rule:

\[x^{-1} = \frac{1}{x}\]
\[\frac{1}{x^{-1}} = x^{1}\]

Exponential multiplication rule:

\[x^ax^b = x^{a+b}\]
\[x^{a}x^{-b} = x^{a + (-b)} = x^{a-b}\]

for example:


\[x^{3}*x^{5} = x^8\]
\[x^2\frac{1}{x^{3}} = x^{2}x^{-3} = x^{2-3} = x^{-1} = \frac{1}{x}\]

Answer 12

So for your problem,

96w and 144w^3
by the definition of exponents
144w^3 = 144*w*w*w

144*w*w*w and 96w share a single w, so we can factor it out and get

w(144w*w + 96) or w(144w^2 + 96)

Answer 13

essentially you are finding common terms and pulling them out

Answer 14

Algebra is just a bunch of rules you have to memorize it isn't that tough just look up algebra rules then find practice questions to apply them eventually you wont need the rules you will just get it. Here is a decent list of them

http://www.wyzant.com/resources/lessons/math/algebra/properties_of_algebra

Answer 15

but yeah back to your question do you want to make an attempt?

Answer 16

I can tell you if you are on the right track