Question

3(y+5)^2-3y^2 gggggggghyggygyg​

Answer 1

Извиняюсь сразу за почерк)

Answer 2

To simplify the expression 3(y+5)^2 - 3y^2, we'll expand and simplify it step by step:

1. Start by applying the square to the binomial term (y + 5)^2: (y + 5)^2 = (y + 5)(y + 5) = y(y) + y(5) + 5(y) + 5(5) = y^2 + 5y + 5y + 25 = y^2 + 10y + 25

2. Now substitute the expanded form back into the original expression: 3(y + 5)^2 - 3y^2 = 3(y^2 + 10y + 25) - 3y^2

3. Distribute the 3 to each term inside the parentheses: 3(y^2 + 10y + 25) - 3y^2 = 3y^2 + 30y + 75 - 3y^2

4. Combine like terms (the terms with y^2): 3y^2 + 30y + 75 - 3y^2 = (3y^2 - 3y^2) + 30y + 75 = 0 + 30y + 75 = 30y + 75

Therefore, the simplified form of 3(y+5)^2 - 3y^2 is 30y + 75.