5x²+10xy+5y

It looks like you have a mathematical expression, specifically a polynomial: \( 5x^2 + 10xy + 5y \). To simplify or factor this expression, we can look for common factors in each term: 1. **Identify Common Factors**: In each term of the expression, \( 5 \) is a common factor. 2. **Factor out the common term**: \[ 5x^2 + 10xy + 5y = 5(x^2 + 2xy + y) \] Now, we can try to factor the quadratic part \( x^2 + 2xy + y \) further. We can see if this quadratic can be factored into a product of two binomials: - The expression \( x^2 + 2xy + y \) doesn't factor nicely into integer pairs, and is thus left in its current form. So, the final factored expression is: \[ 5(x^2 + 2xy + y) \] If you are looking for a specific kind of manipulation or simplification, let me know!