CPM Homework Help : CCG Problem 3-101

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3-101.

Multiply the expressions in parts (a) and (b). Solve the equations in parts (c) and (d).

$(3x+2)(4x-5)$
Hint (a):
Use a rectangular area model.

$(4x-1)^2$
Hint (b):
It may help to rewrite this expression as $(4x-1)(4x-1)$ .

$2x(x+3)=(x+1)(2x-5)$
Hint (c):
Begin by multiplying. The $x^2$ -terms can be removed by subtracting them from both sides of the equation.
Answer (c):
$x=-\frac{5}{9}$

$3^2+(x+1)^2=(x+2)^2$
Hint (d):
Rewrite as $3^2+(x+1)(x+1)=(x+2)(x+2)$ .

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