Question

(6a+1/a²-6a+6a-1/a²+6a)•a²-36/a²+1

Answer 1

12а^4+12a^3+a^2-37/ a^2

Answer 2

To simplify the expression, let's break it down step by step:

(6a + 1/a² - 6a + 6a - 1/a² + 6a) • a² - 36 / (a² + 1)

Combining like terms within the parentheses: (6a - 6a + 6a) • a² + (1/a² - 1/a²) + 6a

Simplifying further: (6a) • a² + 0 + 6a

Multiplying: 6a³ + 6a

Now let's simplify the denominator: a² + 1

Now we can put it all together:

(6a³ + 6a) / (a² + 1) - 36 / (a² + 1)

Combining the fractions with a common denominator: (6a³ + 6a - 36) / (a² + 1)

So the simplified expression is (6a³ + 6a - 36) / (a² + 1).