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Sam says that he knows a clever set of steps to rewrite the expression
(x + 3)(3x+ 8) - 3x(x + 3)
as a sum of two terms where the steps do not involve multiplying the linear factors first and then
collecting like terms. Rewrite the expression as a sum of two terms (where one term is a number and the
other is a product of a coefficient and variable) using Sam’s steps if you can.

Respuesta :

pedrocarratore

Answer:

8x +24

Step-by-step explanation:

The easiest way to rewrite the expression is to find a common factor in both terms of the equation. In this case, (x+3) is the common factor and, therefore, the equation can be rewritten and solved as follows:

[tex](x+3)*[(3x+8)-3x]\\(x+3)*8\\8x +24[/tex]

The method presented above successfully finds an expression comprised of the sum of two terms through Sam's steps.

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