a^2 - b^2 = (a - b)(a + b)
(a^m)^n = a^(m*n)
5) (m^5 - n^3)(m^5 + n^3) = (m^5)^2 - (n^3)^2 = m^10 - n^6
6) (5a^2b - 1/4ab^2)(5a^2b + 1/4ab^2) = (5a^2b)^2 - (1/4ab^2)^2 = 25a^4b^2 - 1/16a^2b^4 = a^2b^2*(25a^2 - 1/16b^2)= a^2b^2(5a - 1/4b)(5a + 1/4b)
7) (0.5x^3 + 0.2y^4)(0.5x^3 - 0.2y^4) = (0.5x^3)^2 - (0.2y^4)^2 = 0.25x^6 - 0.04y^8
8) (a^5 - b^5)(a^5 + b^5)(a^10 + b^10) = (a^10 - b^10)(a^10 + b^10) = a^20 - b^20
9) (-x^7 - y^3)(y^3 - x^7) = - (y^3 + x^7)(y^3 - x^7) = (x^7)^2 - (y^3)^2 = x^14 - y^6
a^2 - b^2 = (a - b)(a + b)
(a^m)^n = a^(m*n)
5) (m^5 - n^3)(m^5 + n^3) = (m^5)^2 - (n^3)^2 = m^10 - n^6
6) (5a^2b - 1/4ab^2)(5a^2b + 1/4ab^2) = (5a^2b)^2 - (1/4ab^2)^2 = 25a^4b^2 - 1/16a^2b^4 = a^2b^2*(25a^2 - 1/16b^2)= a^2b^2(5a - 1/4b)(5a + 1/4b)
7) (0.5x^3 + 0.2y^4)(0.5x^3 - 0.2y^4) = (0.5x^3)^2 - (0.2y^4)^2 = 0.25x^6 - 0.04y^8
8) (a^5 - b^5)(a^5 + b^5)(a^10 + b^10) = (a^10 - b^10)(a^10 + b^10) = a^20 - b^20
9) (-x^7 - y^3)(y^3 - x^7) = - (y^3 + x^7)(y^3 - x^7) = (x^7)^2 - (y^3)^2 = x^14 - y^6