Question

Use the distributive property to express 16+48

Answer 1

`16[1+3]`

Explanation:

we know that

The distributive property states that when a factor is multiplied by the sum of two numbers, you can multiply each of the two numbers by that factor and then add them

so

`a(b+c)=ab+ac`

In this problem we have

`(16+48)`

Decompose the numbers in prime factors

`16=(2^4)\\48=(2^4)(3)`

substitute in the expression

`2^4+(2^4)(3)`

Factor 2^4

`2^4[1+3]`

`16[1+3]`