Question

(x+5) (x+8)x (x+8)+5(x+8)x^2+8x+5x+40x^2+13x+40Analyze the method used to simplify two binomials. Explain what was done in each step of the solution.Compare and contrast this with the box method.

Answer 1

We have the product:

$(x+5)(x+8)$

To get to:

$x(x+8)+5(x+8)$

we use the distributive property of the product with the sum (x+5).

Now, to get:

$x^2+8x+5x+40$

we use the distributive property once again with each produtct in the step before.

Finally to get:

$x^2+13x+40$

we add like terms in the expression before.

Now, this gives the same result as the box method.