Question

Apply the distributive property. $$-5 w(-3+2 w)$$

Short answer

The simplified expression after applying the distributive property to \(−5w(−3 +2w)\) is \(15w -10w^2\).

Step-by-step solution

Identify terms

Identify the terms in the parentheses to which the distributive property will be applied, which are -3 and 2w.

Apply distributive property

The distributive property states that the product of a number and a sum, \(a(b + c)\), is equal to the sum of the products of the number and each term in the sum, \(ab + ac\). Apply the distributive property to \(−5w(−3 +2w)\), which results in \(-5w*-3 + -5w*2w\).

Simplify the expression

Perform the multiplication operations to simplify the expression to \(15w -10w^2\).