Question

solve the equation 4(p + 5) = 21. what property can you use to rewrite the equation without parentheses? the distributive property the associative property the commutative property

Explanation:

To remove parentheses from \(4(p + 5)\), we use the distributive property, which states \(a(b + c)=ab+ac\). Here, \(a = 4\), \(b=p\), \(c = 5\), so \(4(p + 5)=4p+20\). The associative property deals with grouping (e.g., \((a + b)+c=a+(b + c)\)), and the commutative property deals with order (e.g., \(a + b=b + a\)), neither of which remove parentheses here.

Answer:

The distributive property