Question

(а+2)²-3(2²-2а+3)+3(а²-4)=​

Answer 1

A^2+4a+4-12+6a-9+3a^2-12=4a^2+10a-17

Answer 2

Let's simplify the expression step by step:

(а+2)² - 3(2² - 2а + 3) + 3(а² - 4)

Step 1: Expand the square of (a+2):

(а+2)² = (а+2)(а+2) = а² + 4а + 4

Step 2: Expand the expression inside the first parentheses:

2² = 4

Step 3: Expand the expression inside the second parentheses:

• 3(2² - 2а + 3) = - 3(4 - 2а + 3) = - 3(7 - 2а) = - 21 + 6а

Step 4: Expand the expression inside the third parentheses:

а² - 4

Now, let's put everything together:

(а+2)² - 3(2² - 2а + 3) + 3(а² - 4) = (а² + 4а + 4) - (21 - 6а) + 3(а² - 4)

Simplify further:

= а² + 4а + 4 - 21 + 6а + 3а² - 12

Now, combine like terms:

= 4а² + а² + 4а + 6а - 21 - 12

= 4а² + а² + 10а - 33

So, the simplified expression is 4а² + а² + 10а - 33.