Answer:(b+3c)+(b+3c)(b+3c)+(b+3c) 2(b)+2(3c)
Explanation:
3(b+2c)
3(b+2c)
3(b+2c)
(3)b+(3)2c
3b+6c
2(b+3c)
(2)b+(2)3c
2b+6c
2b+6c
=2b+6c
Let's see if the second expression is equivalent to 2(b+3c)2(b+3c)2, left parenthesis, b, plus, 3, c, right parenthesis.
(b+3c)+(b+3c)
(b+3c)+(b+3c)
(b+3c)+(b+3c)
b+3c+b+3c
2b+6c
2(b+3c)
(2)b+(2)3c
2b+6c
= 2b+6c
=2b+6c
Let's see if the third expression is equivalent to 2(b+3c)2(b+3c)2, left parenthesis, b, plus, 3, c, right parenthesis.
2(b)+2(3c)
2(b)+2(3c)
2(b+3c)
=2(b)+2(3c)
The following expressions are equivalent to 2(b+3c)2(b+3c)2, left parenthesis, b, plus, 3, c, right parenthesis: