Question

Y(y-5)y(y+5)-(y+2)(y2-2y+4)

Answer 1

y(y^2 - 25) - (y^3 + 8) =  

= y^3 - 25y - y^3  - 8 =  

= - 25y - 8

Answer 2

To simplify the given expression, let's first expand and then combine like terms:

The expression is: Y(y - 5)y(y + 5) - (y + 2)(y^2 - 2y + 4)

Step 1: Expand the expressions within parentheses: Y(y - 5)y(y + 5) = Y(y^2 - 5y)(y^2 + 5y) (y + 2)(y^2 - 2y + 4) = y(y^2 - 2y + 4) + 2(y^2 - 2y + 4) = y^3 - 2y^2 + 4y + 2y^2 - 4y + 8

Step 2: Simplify the expanded expressions: Y(y^2 - 5y)(y^2 + 5y) = Y(y^4 - 25y^2) (y + 2)(y^2 - 2y + 4) = y^3 + 8

Step 3: Subtract the second expression from the first one: Y(y^4 - 25y^2) - (y^3 + 8)

Step 4: Distribute the negative sign to the terms inside the second parentheses: Y(y^4 - 25y^2) - y^3 - 8

The simplified expression is: Y(y^4 - 25y^2) - y^3 - 8