Question

Which are equivalent expressions?

Check all that are true.
a + b • 3 = 3a + 3b
(a + 3b)3 = 3a + 9b
a + b • 3 = a + 3b
a + 3b • 3= 3a + 6b
a + 3b • 3 = a + 9b

Answer 1

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`\Large\pmb{ \underline {\tt Answer}}`

#1

a + b • 3 = 3a + 3b

No

Actual equation formed:-

a + 3b = 3a + 3b

#2

• (a + 3b)3 = 3a + 9b

Yes

#3

a + b • 3 = a + 3b

Yes

#4

a + 3b • 3= 3a + 6b

No

Actual equation formed:-

a + 9b

#5

a + 3b • 3 = a + 9b

Yes

Rule applies:-

BODMAS

B - brakets

O - on/off

D- divide

M - multiply

A - add

S - subtract

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Answer 2

b. (a + 3b)3 = 3a + 9b
c. a + b • 3 = a + 3b
e. a + 3b • 3 = a + 9b

Hope that helps!