Question 224809
Use the FOIL method to find the product.


{{{(6x^2-6)(x^3-7)}}}


Step 1.  FOIL method means multiply the First, Outer, Inner, and Last terms


{{{(6x^2-6)(x^3-7)=(6x^2)*(x^3)+(6x^2)*(-7)+(-6)*(x^3)+(-6)*(-7)}}}


{{{(6x^2-6)(x^3-7)=6x^5-42x^2-6x^3+42}}}


Step 2.  Arrange in descending order


{{{(6x^2-6)(x^3-7)=6x^5-6x^3-42x^2+42}}}


Step 3.  ANSWER:  {{{(6x^2-6)(x^3-7)=6x^5-6x^3-42x^2+42}}}


I hope the above steps were helpful.


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Good luck in your studies!


Respectfully,
Dr J