How do you multiply (6x + y)(2x + 8y )?

Jul 3, 2015

Use the FOIL method for multiplying two binomials.

Explanation:

The FOIL method gives the order in which you should multiply the terms in the two binomials.

$\left(6 x + y\right) \left(2 x + 8 y\right)$ =

$6 x \cdot 2 x + 6 x \cdot 8 y + y \cdot 2 x + y \cdot 8 y$ =

$12 {x}^{2} + 48 x y + 2 x y + 8 {y}^{2}$ =

$12 {x}^{2} + 50 x y + 8 {y}^{2}$