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

Apr 22, 2018

${x}^{2} - 28 x + 16$

#### Explanation:

Multiply the $3 x$ and the -4 by $4 x$, then multiply the $3 x$ and the-4 by -4.

$\implies$ $12 {x}^{2} - 16 x - 12 x + 16$

Collect like terms

${x}^{2} - 28 x + 16$

Apr 22, 2018

$12 {x}^{2} - 28 x - 16$

#### Explanation:

To solve this, we use the distributive property.

$4 x \cdot 3 x - 4 \cdot 3 x + 4 x \cdot - 4 + - 4 \cdot - 4$

Combine and simplify:
$12 {x}^{2} - 12 x - 16 x + 16$

Combine like terms ($- 12 x$ and $- 16 x$)
$12 {x}^{2} - 28 x + 16$

Hope this helps!