Question

(а-2)(а^2-3а+6) хелпппппппппппппппппппппп

Answer 1

A^3-3a^2+6a-2a^2+6a-12=a^2-3a^2+12a-12

Answer 2

Sure, I'd be happy to help you with the expression (а-2)(а^2-3а+6).

To simplify the expression, we can use the distributive property of multiplication over addition. Here's how we can do it step by step:

Step 1: Distribute the (а-2) term to each term inside the second parentheses (а^2-3а+6):

(а-2)(а^2-3а+6) = а * а^2 - а * 3а + а * 6 - 2 * а^2 + 2 * 3а - 2 * 6

Step 2: Simplify the terms by performing the multiplication:

а * а^2 = а^3 а * 3а = 3а^2 а * 6 = 6а

2 * а^2 = 2а^2 2 * 3а = 6а 2 * 6 = 12

Now the expression becomes:

а^3 - 3а^2 + 6а - 2а^2 + 6а - 12

Step 3: Combine like terms:

In this step, we'll combine the terms that have the same variable and the same exponent:

а^3 - 3а^2 - 2а^2 + 6а + 6а - 12

Step 4: Continue simplifying:

Now, add and subtract the coefficients of the like terms:

а^3 - (3а^2 + 2а^2) + (6а + 6а) - 12

а^3 - 5а^2 + 12а - 12

So, the simplified expression is: а^3 - 5а^2 + 12а - 12.