CPM Homework Help : INT2 Problem 2-79

Copy each of the area models below and fill in the missing dimensions and areas. Then write the entire area as a product equivalent to the area as a sum.

$2xy$
$8y$
$x$
Hint (a):
Try to find a way to factor what is inside of the boxes, then it is possible to write the area as a product of its sum.
Answer (a):
$2xy+8y=2y(x+4)$

$x^2$
$8x$
$+5$
Answer (b):
$(x+8)(x+5)=x^2+13x+40$

$-3xy$
$-4$
$-8z$
$-20$
$-3y$
Answer (c):
$(x−4)(2z−3y+5)=2xz-3xy+5x-$
$8z+12y−20$ .

$x$
$x^2$
$6$
Answer (d):
Multiple answers are possible.

$2xy$	$8y$
$x$

$x^2$
$8x$
	$+5$

		$-3xy$
$-4$	$-8z$		$-20$
		$-3y$

$x$	$x^2$
		$6$