Question

1. 4(9m + 3n + 7p) and 36m + 12n + 28p

Explanation:

Step1: Expand the first - expression

Use the distributive property \(a(b + c + d)=ab+ac + ad\). Here \(a = 4\), \(b = 9m\), \(c = 3n\), \(d = 7p\). So \(4(9m + 3n+7p)=4\times9m+4\times3n + 4\times7p\).
\(4\times9m+4\times3n + 4\times7p=36m + 12n+28p\)

Step2: Compare with the second - expression

The expanded form of \(4(9m + 3n + 7p)\) is \(36m + 12n+28p\), which is the same as the second expression \(36m + 12n + 28p\).

Answer:

The two expressions \(4(9m + 3n + 7p)\) and \(36m + 12n + 28p\) are equal.