the following steps are used to rewrite the polynomial expression
step 1. x(x-5y)+2y(x-5y)
step 2.x^(2)-5xy+2yx-10y^(2)
step 3. x^(2)-5xy+2xy-10y^(2)
step 4.x^(2)-3xy-10y^(2)
The given polynomial expression can be rewritten through the following steps:
Step 1: Distribute x to the terms inside the parentheses and 2y to the terms inside the parentheses:
x(x-5y) + 2y(x-5y)
Step 2: Simplify the expression by performing the multiplication:
x^2 - 5xy + 2yx - 10y^2
Step 3: Rearrange the terms in the expression:
x^2 - 5xy + 2xy - 10y^2
Step 4: Combine like terms to simplify the expression:
x^2 - 3xy - 10y^2
Therefore, the polynomial expression is x^2 - 3xy - 10y^2.