Question

(a²-2)(a+2)+(6-a)(a+6)​

Answer 1

Ответ:

(a+6)/(a-2)(a+2) -2/a(a+2) =(a(a+6) -2(a-2)) /a(a-2)(a+2) =(a² +6a -2a+4) /a(a-2)(a+2) =(a² +4a +4) /a(a-2)(a+2) =(a+2)² /a(a-2)(a+2) =(a+2) /a(a-2)

Объяснение:

Answer 2

To simplify the expression (a²-2)(a+2) + (6-a)(a+6), you can use the distributive property (FOIL) to multiply the terms in each parentheses and then combine like terms. Here's the step-by-step simplification:

1. Multiply the terms in the first parentheses: (a² - 2)(a + 2) = a²(a) + a²(2) - 2(a) - 2(2) = a³ + 2a² - 2a - 4

2. Multiply the terms in the second parentheses: (6 - a)(a + 6) = 6(a) + 6(6) - a(a) - a(6) = 6a + 36 - a² - 6a

Now, combine like terms:

(a³ + 2a² - 2a - 4) + (6a + 36 - a² - 6a)

Group the like terms together:

a³ + (2a² - a²) + (-2a - 6a) + (-4 + 36)

Now, simplify the grouped terms:

a³ + a² - 8a + 32

So, the simplified expression is:

a³ + a² - 8a + 32