Question

(а5-b5)(a10+b10)(a5+b5)

Answer 1

=(а10-б10)(а10+б10)=а20-б20

Answer 2

The expression you've provided appears to be a product of three terms:

1. (a^5 - b^5)
2. (a^10 + b^10)
3. (a^5 + b^5)

To simplify this expression, you can use the difference of squares and the sum of cubes formulas:

1. (a^5 - b^5) = (a - b)(a^4 + a^3b + a^2b^2 + ab^3 + b^4)
2. (a^10 + b^10) is already in its simplest form because there are no common factors to factor further.
3. (a^5 + b^5) = (a + b)(a^4 - a^3b + a^2b^2 - ab^3 + b^4)

So, the simplified expression would be:

[(a - b)(a^4 + a^3b + a^2b^2 + ab^3 + b^4)][(a^10 + b^10)][(a + b)(a^4 - a^3b + a^2b^2 - ab^3 + b^4)]

This is the simplified form of the expression you provided.