Question

A³-14ab²+7a²b-8b³ пж​

Answer 1

$a^{3}-14ab^{2}+7a^{2} b-8b^{3}=(a^{3}-8b^{3})+(7a^{2}b-14ab^{2})=\\\\=[a^{3}-(2b)^{3}] +7ab(a-2b)=(a-2b)( a^{2}+2ab+4b^{2})+7ab(a-2b)=\\\\=(a-2b)(a^{2}+2ab+4b^{2}+7ab)=\boxed{(a-2b)(a^{2}+9ab+4b^{2})}$

Answer 2

a³ - 14ab² + 7a²b - 8b³ = (a³ - 8b³) - (14ab² - 7a²b) = [a³ - (2b)³] - 7ab(2b -a) =

= (a - 2b)(a² + 2ab + 4b²) + 7ab(a - 2b) = (a - 2b)( a² + 2ab + 4b² + 7ab) =

= (a - 2b)(a² + 9ab + 4b²)

Answer 3

It looks like you've provided an algebraic expression: A³ - 14ab² + 7a²b - 8b³. This is a polynomial expression in terms of the variables A, a, and b. If you have a specific question or task related to this expression, please let me know, and I'd be happy to assist you further. You can factor it, simplify it, or perform various operations depending on your needs.