4. draw generic rectangles to match each calculation, and use your rectangles to find the area.
a. (2x - 3y)(3x - 2y)=
b. (x - y - 10)(y - x)=

Question

Accepted Answer

# Explanation:
## Step1: Expand (2x - 3y)(3x - 2y) using FOIL method
$$
\begin{align*}
&(2x-3y)(3x - 2y)\
=&2x\times3x+2x\times(- 2y)+(-3y)\times3x+(-3y)\times(-2y)\
=&6x^{2}-4xy - 9xy+6y^{2}\
=&6x^{2}-13xy + 6y^{2}
\end{align*}
$$
## Step2: Expand (x - y - 10)(y - x)
$$
\begin{align*}
&(x - y - 10)(y - x)\
=&x(y - x)-y(y - x)-10(y - x)\
=&xy-x^{2}-y^{2}+xy-10y + 10x\
=&-x^{2}-y^{2}+2xy+10x-10y
\end{align*}
$$

# Answer:
a. $6x^{2}-13xy + 6y^{2}$
b. $-x^{2}-y^{2}+2xy+10x-10y$

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QUESTION IMAGE

Question

Explanation:

Step1: Expand (2x - 3y)(3x - 2y) using FOIL method

Step2: Expand (x - y - 10)(y - x)

Answer: