multiply the following: (6r + 3s) (2r -2s)?

Question

help please?

Answer 1

(6r + 3s) (2r -2s)
=12r^2+6rs-12rs-6s^2
=12r^2-6rs-6s^2

Answer 2

There are ways to remember how to multiply things like this, one answer, gave you a rule of thumb for it. But, why bother, you may just forget the rule. Why not just set this up like any other multiplication problem?

For example,

---23
X 14
------- How would you multiply these two numbers? You do your two factors the same way. Really. Here's why.

23 = (20 + 3)
X14 = X (10 + 4)

So we have 10X20 + 10X3 + 4X20 + 4X3 = 200+30+80+12 = 322, which is exactly how you'd multiply (6r + 3s) (2r -2s)...just like you'd do numbers. So set your two factors up like numbers.

(6r + 3s)
X(2r -2s) so that...

2r X 6r + 2r X 3s + (-2s X 6r) + (-2s X 3s) = ? You can add them up. [Make sure you keep the minus sign in -2s.]

There you have it, no special rules to remember; just the rule for multiplying numbers and factors.

Answer 3

(6r + 3s) (2r -2s) =
(3)(2r + s)(2)(r - s) =
6(2r + s)(r - s) =
6(2r² - rs - s²) =
12r² - 6rs - 6s².

Answer 4

12*r squared minus 6rs minus 6*s squared

Answer 5

(6r +3s) (2r -2s)
12r^2 + 6rs - 12rs - 6s^2
12r^2 - 6rs - 6s^2

Answer 6

No, you have to use FOIL
first = 12r*r
outside = 12rs
inside = 6rs
last = 3s*s

add them all up to get 12r*r + 18rs + 3s*s

Answer 7

12r^2 - 6rs - 6s^2

Answer 8

12 r2 -12 rs + 6 rs - 6 s2

{12 r2 -6 rs - 6 s2} multiply by 6
therefore,
2 r2 -rs -s2

note:
r2 =sqr r
s2 =sqr s

Answer 9

multiply the like terms which would give you 12r+6s.....I think, lol...it has been a minute since I had homework on that level....

Answer 10

lovely me is wrong, you have to FOIL