Question

(а-5)^2-2(a-5)(a+5)+(a+5)^2 при а= - .

Answer 1

A^2-10a+25-2a^2+50+a^2+10a+25=25+50+25=100

Answer 2

To simplify the expression (а-5)^2-2(a-5)(a+5)+(a+5)^2 when a = - , we substitute - for 'a' in the expression:

((- ) - 5)^2 - 2((- ) - 5)((- ) + 5) + ((- ) + 5)^2

Let's simplify step by step:

((- ) - 5)^2: ((- ) - 5)^2 = (- - 5)^2 = ( - 5)^2 = 25

• 2((- ) - 5)((- ) + 5):
• 2((- ) - 5)((- ) + 5) = - 2((- ) - 5)(- ) = - 2(- - 5)(- ) = - 2( - 5 - )(- ) = - 2(- 5 + )( - ) = - 2(- 5 - ) = - 2(5) = -10

((- ) + 5)^2: ((- ) + 5)^2 = (- + 5)^2 = (5)^2 = 25

Now we can substitute the simplified values back into the original expression:

25 - 10 + 25

Simplifying further:

25 + 25 - 10 = 50 - 10 = 40

Therefore, when a = -, the expression (а-5)^2-2(a-5)(a+5)+(a+5)^2 simplifies to 40.