alex9090 alex9090

11-02-2016
Mathematics

Answered

which expresions is equivalent to 2a + 5(b + 7a)?

A.) 7a + 12b B.) 37a + 5b C.) 9a + 5b D.) 2a + 35b

Verified Answer :

11-02-2016

Correct answer is B.

\(2a+5(b+7a)=2a+5*b+5*7b=2a+5b+35a=37a+5b\) :)

Answer Link

18-02-2016

\(2a + 5(b + 7a)\\\\\sf{Distribute~the~5}\\\\\sf{Distributive ~property:~a(b+c)=ab+ac}\\\\2a + 5(b + 7a)\\\\=2a + 5b + 5(7a)\\\\=2a + 5b + 35a\\\\=\boxed{\bf{37a+5b}}\)

Your final answer is B.

Answer Link

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