# How do you multiply (6x – 7y)(4x – 3y)?

Apr 3, 2018

$24 {x}^{2} - 46 x y + 21 {y}^{2}$

#### Explanation:

$6 x \cdot 4 x = 24 {x}^{2}$

$6 x \cdot - 3 y = - 18 x y$

$- 7 y \cdot 4 x = - 28 x y$

$- 7 y \cdot - 3 y = 21 {y}^{2}$

When we combine it all together we get:
$24 {x}^{2} - 18 x y - 28 x y + 21 {y}^{2}$

We can still simplify this because $- 18 x y$ and $- 28 x y$ are like terms:
$- 18 x y - 28 x y = - 46 x y$

So the final simplified answer is:
$24 {x}^{2} - 46 x y + 21 {y}^{2}$

Hope this helps!