Question

Multiply and simplify
(3w-1)(4w-3)

Answer 1

\[(3w - 1)(4w - 3) \implies 3w(4w - 3) - 1(4w - 3) \implies 12w^2 - 9w - 4w + 3\]\[\implies ?\]

Answer 2

12w^2 - 5w + 3

Answer 3

\[\large (a -b)(c - d) = ac - ad - bc +bd\]

Answer 4

-9 - 4 = ??

Answer 5

Not quite. -9w - 4w is basically this: -(9w + 4w) = ?

Answer 6

-13

Answer 7

Yes..

Answer 8

So as entire what will you get now??

Answer 9

Yup. So it is:
\[(3w - 1)(4w - 3) = 12w^2 - 13w + 3\]