Question

3a(a+1)+(a+2)(a-3)===

Answer 1

3a(a+1)+(a+2)(a-3)=3a²+3a+a²+2a-3a-6=4a²+2a-6=(2a+3)(2a-2)

Answer 2

3а²+3а+а²-3а+2а-6=4а²+2а

Answer 3

To simplify the expression 3a(a+1) + (a+2)(a-3), you can use the distributive property and then combine like terms:

1. Start by distributing the 3a to both terms inside the first parenthesis: 3a(a+1) = 3a^2 + 3a

2. Next, distribute (a+2) to both terms inside the second parenthesis: (a+2)(a-3) = a(a-3) + 2(a-3) = a^2 - 3a + 2a - 6

3. Now, you can combine like terms in the expression: 3a^2 + 3a + a^2 - 3a + 2a - 6

4. Combine like terms: (3a^2 + a^2) + (3a - 3a + 2a) - 6

5. Further simplify: 4a^2 + 2a - 6

So, the simplified expression is 4a^2 + 2a - 6.