Question

1 write an expression for the area of the rectangle below. a.) area = ( 3x + 2 )( x + 3 ) hint: add the boxes after multiplying terms. 2 fill in the area of the missing dimensions and areas of the rectangles below. write an equation for the total area by adding the purple boxes. area = ( x - 1 )( 2x - 2 ) hint: add the boxes after multiplying terms.

Explanation:

1.

Step1: Multiply terms in the first - row

Multiply $3x$ by $x$ and $3$.
$3x\times x = 3x^{2}$, $3x\times3=9x$

Step2: Multiply terms in the second - row

Multiply $2$ by $x$ and $3$.
$2\times x = 2x$, $2\times3 = 6$

Step3: Combine like - terms

Combine the products: $3x^{2}+9x + 2x+6=3x^{2}+11x + 6$

Step1: Multiply terms in the first - row

Multiply $x$ by $2x$ and $- 2$.
$x\times2x=2x^{2}$, $x\times(-2)=-2x$

Step2: Multiply terms in the second - row

Multiply $-1$ by $2x$ and $-2$.
$-1\times2x=-2x$, $-1\times(-2) = 2$

Step3: Combine like - terms

Combine the products: $2x^{2}-2x-2x + 2=2x^{2}-4x + 2$

Answer:

$3x^{2}+11x + 6$

2.