### Home > CCG > Chapter 3 > Lesson 3.2.5 > Problem3-101

3-101.

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

1. $(3x+2)(4x-5)$

Use a rectangular area model.

1. $(4x-1)^2$

It may help to rewrite this expression as $(4x-1)(4x-1)$.

1. $2x(x+3)=(x+1)(2x-5)$

Begin by multiplying. The $x^2$-terms can be removed by subtracting them from both sides of the equation.

$x=-\frac{5}{9}$

1. $3^2+(x+1)^2=(x+2)^2$

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