Question

Write an algebraic equation for each figure below to express the relationship, "Area as a product equals area as a sum For both^^ A & B are seperate

Answer 1

We have the following:

In part a we must multiply each part.

And in part b, we must calculate the values of that multiplicity

Part A:

Area as a sum:

`2x^2+2x-3x-3\rightarrow2x^2-x-3`

Area as a product:

`(2x-3)\cdot(x+1)`

Part B:

Area as a sum:

`x^2+2x+3x+6\rightarrow x^2+5x+6`

Area as a product:

`(x+3)\cdot(x+2)`