Question

3) 26 - a2 - (5 – a)2,​

Answer 1

Ответ:

$- 2 {a}^{2} + 10a + 1$

Объяснение:

$26 - {a}^{2} - {(5 - a)}^{2} = 26 - {a}^{2} - (25 - 10a + {a}^{2}) = 26 - {a}^{2} - 25 + 10a - {a}^{2} = - 2 {a}^{2} + 10a + 1$

Answer 2

To simplify the expression 26 - a^2 - (5 - a)^2, let's break it down step by step:

First, let's simplify the square term (5 - a)^2: (5 - a)^2 = (5 - a) * (5 - a) = 25 - 5a - 5a + a^2 = 25 - 10a + a^2

Now let's substitute this value back into the original expression: 26 - a^2 - (5 - a)^2 = 26 - a^2 - (25 - 10a + a^2)

Next, distribute the negative sign to each term inside the parentheses: = 26 - a^2 - 25 + 10a - a^2

Combine like terms: = (26 - 25) - (a^2 + a^2) + 10a = 1 - 2a^2 + 10a

So, the simplified expression is 1 - 2a^2 + 10a.