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## Main Question or Discussion Point

Let us say we have this:

[tex]f(x)=(x^3-x)(x^2+2)(x^2+x-1)[/tex]

Would it be equally correct to multiply the first two binomials, and then taking that and multiplying by the last tri-nomial; and then using the sum rule? It seems perfectly fine (and much simpler!) but I want to make sure I am not violating anything here. It seems like a longer problem to use the product rule twice.

[tex]f(x)=(x^3-x)(x^2+2)(x^2+x-1)[/tex]

Would it be equally correct to multiply the first two binomials, and then taking that and multiplying by the last tri-nomial; and then using the sum rule? It seems perfectly fine (and much simpler!) but I want to make sure I am not violating anything here. It seems like a longer problem to use the product rule twice.