Here is another math problem?

Question

(x^6 + x^5)(x^6 + x^5 - x^4)

I am learning this and i need some help with explaining it please... Thank you

Answer 1

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Answer 2

Ok. I won't just give you the answer. You know, teach to fish and all that.

First, to simply it, take out common factors. It will leave it like this =

(x^5)(x+1)(x^4)(x^2+x-1)

Then multiply similar factors. (x^5)(x^4) =

Now you have these =

(x^9)(x+1)(x^2+x-1)

Although those steps aren't necessary (you can go ahead and multiply from step 1), I like to explain it to my classmates that way, they seem to get a better hold of the concept.

Now multiply the last two. You will have these =

(x^9)(x+1)(x^2+x-1) ;

(x^9)(x(x^2+x-1)+(x^2+x-1)) ;now distribute and get rid of parenthesis

(x^9)(x^3+x^2-x+x^2+x-1) ; now simplify, combine similar factors

(x^9)(x^3+2x^2-1) ; now distribute the first factor

x^12+2x^11-x^9

That's your answer.