Question

1)(x-5)^2+2x(x-3)2) (y+8)^2-4y(y-2)

Answer 1

1) x^2-10x+25+2x^-6=0
3x^2-10x+19=0
Дальше по дискриминанту
2) в точности
Вот формула сокращённого умножения которой я пользовалась (а-в) ^2=а^2-2ав+в2

Answer 2

Let's simplify each of the given expressions step by step:

1. (x-5)^2 + 2x(x-3)

Step 1: Expand the square term (x-5)^2 using the formula (a-b)^2 = a^2 - 2ab + b^2. (x-5)^2 = x^2 - 2(5)x + 5^2 = x^2 - 10x + 25

Step 2: Distribute 2x into (x-3). 2x(x-3) = 2x^2 - 6x

Now, combine the simplified terms: (x-5)^2 + 2x(x-3) = x^2 - 10x + 25 + 2x^2 - 6x

Step 3: Combine like terms: (x-5)^2 + 2x(x-3) = 3x^2 - 16x + 25

So, the simplified expression is 3x^2 - 16x + 25.

2. (y+8)^2 - 4y(y-2)

Step 1: Expand the square term (y+8)^2 using the formula (a+b)^2 = a^2 + 2ab + b^2. (y+8)^2 = y^2 + 2(y)(8) + 8^2 = y^2 + 16y + 64

Step 2: Distribute -4y into (y-2). -4y(y-2) = -4y^2 + 8y

Now, combine the simplified terms: (y+8)^2 - 4y(y-2) = y^2 + 16y + 64 - 4y^2 + 8y

Step 3: Combine like terms: (y+8)^2 - 4y(y-2) = -3y^2 + 24y + 64

So, the simplified expression is -3y^2 + 24y + 64.