The equivalent expression is 12j + 21 and 3(4j + 7)
Solution:
Given that we have to write 2 equivalent expression
Given expression is:
3(3j + 7 + j)
Combine the like terms. Combine 3j and j we get 4j
Thus the expression becomes,
3(4j + 7)
Now let us use distributive property
The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
The distributive property is represented as:
a(b + c) = ab + ac
Apply distributive property in 3(4j + 7)
[tex]3(4j + 7) = 3 \times 4j + 3 \times 7\\\\3(4j + 7) = 12j + 21[/tex]
Thus one of the equivalent expression is 12j + 21
Second equivalent expression:
From first equivalent expression,
12j + 21
Factor out the greatest common factor
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 21 are: 1, 3, 7, 21
Then the greatest common factor is 3
Thus factor out 3 from 12j + 21
[tex]12j + 21 = 3(4j + 7)[/tex]
Thus the another equivalent expression is 3(4j + 7)
