Question

2(y+1)^2-4y упростить выражение

Answer 1

2(y+1)^2-4y=2((y+1)^2-2y)=2(y^2+2y+1-2y)=2(y^2+1)

Answer 2

Привет, решение во вложении. Пожалуйста, не забудь потом отметить мой ответ как лучший, спасибо!

Answer 3

To simplify the expression 2(y+1)^2 - 4y, follow these steps:

Step 1: Expand the squared term (y+1)^2. Step 2: Apply the distributive property. Step 3: Simplify the resulting expression.

Let's go through each step:

Step 1: Expand (y+1)^2 (y+1)^2 = (y+1)(y+1) = yy + y1 + 1y + 11 = y^2 + 2y + 1

Step 2: Apply the distributive property 2(y+1)^2 = 2(y^2 + 2y + 1) = 2y^2 + 4y + 2

Step 3: Simplify the expression Now, subtract 4y from the expression we got in step 2: 2(y+1)^2 - 4y = 2y^2 + 4y + 2 - 4y

The 4y terms will cancel each other out: 2(y+1)^2 - 4y = 2y^2 + 2

So, the simplified expression is 2y^2 + 2.