Question

(а-3)^2+(а+2)^2-2(3-а)(а+2)

Answer 1

2a-6+2a+4-2(3a+6-a^2-2a)=4a-2-2(a+6+a^2)=4a-2-2a-12-2a^2=2a-14-2a^2=2(a-7-a^2)

Answer 2

Let's simplify the expression step by step:

1. Expand each squared term: (a - 3)^2 = (a - 3)(a - 3) = a^2 - 6a + 9 (a + 2)^2 = (a + 2)(a + 2) = a^2 + 4a + 4

2. Distribute the -2 through the last term: -2(3 - a)(a + 2) = -2(3a + 6 - a^2 - 2a) = -2(4a + 6 - a^2)

Now the expression becomes: (a - 3)^2 + (a + 2)^2 - 2(3 - a)(a + 2) = (a^2 - 6a + 9) + (a^2 + 4a + 4) - 2(4a + 6 - a^2)

3. Combine like terms: = a^2 - 6a + 9 + a^2 + 4a + 4 - 8a - 12 + 2a^2 = a^2 + a^2 + a^2 - 6a + 4a - 8a + 9 + 4 - 12 = 3a^2 - 10a + 1

So, the simplified expression is 3a^2 - 10a + 1.