Question

B) (а-1)²-(а-6)(а+6)=​

Answer 1

Ответ:

37-2a

Объяснение:

(a-1)^2-(a^2-36)

(a-1)^2-a^2+36

(a-1-a)(a-1+a)+36

-1*(2a-1)+36

-2a+1+36

37-2a

Answer 2

Let's simplify the expression (a-1)² - (a-6)(a+6):

1. First, expand the square (a-1)²: (a-1)² = a² - 2a + 1

2. Next, expand the product (a-6)(a+6) using the FOIL method (First, Outer, Inner, Last): (a-6)(a+6) = a² - 6a + 6a - 36 Simplify this to: a² - 36

Now, we can rewrite the original expression with these simplified parts: (a-1)² - (a-6)(a+6) = (a² - 2a + 1) - (a² - 36)

3. Distribute the negative sign to both terms in the second parentheses: = a² - 2a + 1 - a² + 36

4. Now, combine like terms: a² - a² cancels out, and you're left with: = -2a + 1 + 36

5. Add 1 and 36 together: = -2a + 37

So, the simplified expression is: -2a + 37