Question

(a − 3)(a − 2) — (a − 1)(a − 4)​

Answer 1

Объяснение:

(а - 3)(а - 2)-(а - 1)(а - 4)= а²-2а-3а+6-(а²-4а-а+4)= а²-2а-3а+6-а²+4а+а-4=2

Answer 2

To simplify the expression $(a - 3)(a - 2) - (a - 1)(a - 4)$, you can use the distributive property (also known as the FOIL method) and then combine like terms. Here's how you can do it step by step:

1. Start by expanding each of the two terms in the expression:

   $(a - 3)(a - 2) = a(a) - a(2) - 3(a) + 3(2) = a^2 - 2a - 3a + 6$

   $(a - 1)(a - 4) = a(a) - a(4) - 1(a) + 1(4) = a^2 - 4a - a + 4$

2. Now, subtract the second expression from the first one:

   $(a^2 - 2a - 3a + 6) - (a^2 - 4a - a + 4)$

3. Distribute the negative sign in the second expression:

   $a^2 - 2a - 3a + 6 - a^2 + 4a + a - 4$

4. Now, combine like terms:

   $a^2 - a^2 - 2a + 4a - 3a + a + 6 - 4$

5. Continue combining like terms:

   $0a^2 + 0a + 2$

6. Since the terms with 'a' cancel out and we're left with just a constant term, the simplified expression is:

   $2$