Question

Use the figure to find the product (x + 3)(x + 2). (Hint: Find the area of each small square or rectangle, then add.)

Answer 1

Answer:

The product is x² + 5x + 6 which is same with the product of (x + 3)(x + 2)

Step-by-step explanation:

Using the smaller square or rectangle to find the product of (x + 3)(x + 2) , we find the area of each rectangle or square. The area means multiplying the length of each square or rectangle to it width.

The first row can be multiplied with each column as follow

x² + x + x + x  = x² + 3x

second row with each column

x + 1 + 1 + 1 = x +3

third row with each column

x + 1 + 1 + 1 = x + 3

adding the whole results

x² + 3x + x + 3 + x + 3  =  x² + 5x + 6  which is the same as the product of (x + 3)(x + 2)

Answer 2

(x+3)(x+2)
x^2+2x+3x+6
x^2+5x+6<<<<<< answer