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(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.

Respuesta :

We have the product:

[tex](x+5)(x+8)[/tex]

To get to:

[tex]x(x+8)+5(x+8)[/tex]

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

Now, to get:

[tex]x^2+8x+5x+40[/tex]

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

Finally to get:

[tex]x^2+13x+40[/tex]

we add like terms in the expression before.

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

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