Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

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Question 152236: Could someone please show me how to solve this equation.
Multiply
(x^8+x^7)*(x^8+x^7-x^6): Could someone please show me how to solve this equation.
Multiply
(x^8+x^7)*(x^8+x^7-x^6)
Answer by Earlsdon(3748) About Me  (Show Source):
You can put this solution on YOUR website!
Let's use a modified FOIL (First-Outer-Inner-Last) method to multiply"
(highlight(x^8)+x^7)*(x^8+x^7-x^6) = (highlight(x^8)*x^8+highlight(x^8)*x^7-highlight(x^8)*x^6)+(x^7*x^8+x^7*x^7-x^7*x^6) Now simplify this - remembering that when you multiply factors with the same base (x in this case) you will add the exponents of the factors.
x^(8+8)+x^(8+7)-x^(8+6)+x^(7+8)+x^(7+7)-x^(7+6) = x^16+x^15-x^14+x^15+x^14-x^13 Now combine like-terms.
x^16+2x^15-x^13 ...and this could be simplified to:
x^13(x^3+2x^2-1)