Question

Which expressions are equivalent to 2 ( a + 3 b ) 2(a+3b)? ​ ​Mark all that apply. A 2a+6b2a+6b B a+(a+6b)a+(a+6b) C 2b+3a2b+3a D a+3ba+3b E 2a+(5+1)b2a+(5+1)b F a2+b5a 2 +b 5 G

Answer 1

A. 2a+6b

B. a+(a+6b)

D. a + 3b

E. 2a+(5+1)b

Explanation:

Given:

2(a + 3b)

Open parenthesis

= (2a + 6b)

A 2a+6b

B. a+(a+6b)

= a + a + 6b

= 2a + 6b

C 2b+3a

Not equivalent

D. a + 3b

2a + 6b

Divide through by 2

= a + 3b

E. 2a+(5+1)b

= 2a + (6)b

= 2a + 6b

F. a2+b5

Not equivalent