Question

which expression is equivalent to (x + 2)(2y - 8)?
a x² - 6x - 16
b xy + 10yx + 16
c 2xy - 8x + 4y - 16
d 2xy + 8x - 2y - 16

Explanation:

Step1: Apply FOIL method

$(x + 2)(2y-8)=x\times(2y)+x\times(-8)+2\times(2y)+2\times(-8)$

Step2: Simplify each term

$x\times(2y)=2xy$, $x\times(-8)=-8x$, $2\times(2y) = 4y$, $2\times(-8)=-16$

Step3: Combine terms

$2xy-8x + 4y-16$

Answer:

C. $2xy - 8x+4y - 16$