The difference of the product of the polynomials a^2+7a-4 and a-2 and the polynomial a^3+4a^2-29a+11

Step-by-step explanation:

(a²+7a-4) * (a-2) = (a²+7a-4) * a - (a²+7a-4) * 2

= a²*a + 7a*a - 4*a - a²*2 - 7a * 2 + 4 * 2

= a³ + 7a² - 4a - 2a² - 14a + 8

= a³ + 5a² - 4a - 14a + 8

= a³ + 5a² - 18a + 8

a³ + 5a² - 18a + 8 - (a³+4a²-29a+11) = a³ + 5a² - 18a + 8 - a³ - 4a²+29a - 11

= a² + 11a - 3