Question

Each expression below represents the area of a rectangle written as a product tha area model for each expression on your paper and label its length and then we nation showing that the area written as a product is equal to the area wimen as the the parts de prepared to share your equations with the class. a. (x+3)(2x + 1) ca(224) d. (2x + 5)(x + y + 2) • (20 - 1999 (2x-1) (2x-1) g. 2(325) ( 2+ y + 3) 2

Answer 1

We have the expression:

$x(2x-y)$

It can be thougth as the area of a rectangle with sides x and (2x-y).

We can also think of the the difference between an area of a rectangle with sides x and 2x and a rectangle with sides x and y:

$x(2x-y)=x\cdot2x-x\cdot y=2x^2-xy$

Answer: x(2x-y) = 2x^2-xy