Question

(а+2)²-1=? (m-7)²-64=

Answer 1

Ответ:

Объяснение:

(a+2)²-1= (a+2-1)(a+2+1)= (a+1)(a+3)

(m-7)²-64= (m-7-8)(m-7+8)= (m-15)(m+1)

Answer 2

Ответ:

1)(a+2)²-1 = (a+1)(a+3)

2)(m-7)²-64 =  (m-15)(m+1)

Answer 3

Let's solve each expression step by step:

1. (а+2)² - 1: To expand (а+2)², we can use the formula for squaring a binomial: (a + b)² = a² + 2ab + b².

In this case, a = a and b = 2. So, (а+2)² = a² + 2(a)(2) + 2² = a² + 4a + 4.

Now, we subtract 1 from the expanded expression: (a² + 4a + 4) - 1 = a² + 4a + 3.

Therefore, (а+2)² - 1 = a² + 4a + 3.

2. (m-7)² - 64: Similar to the previous expression, we'll first expand (m-7)².

Using the formula (a + b)² = a² + 2ab + b², with a = m and b = -7, we get:

(m - 7)² = m² + 2(m)(-7) + (-7)² = m² - 14m + 49.

Now, we subtract 64 from the expanded expression: (m² - 14m + 49) - 64 = m² - 14m - 15.

Therefore, (m-7)² - 64 = m² - 14m - 15.