Which equivalent expression will be generated by applying the Distributive Property and combining like terms in the expression 11 + 4(x + 2y + 4)? A. 4x + 2y + 27 B. 4x + 8y + 11 C. 4x + 8y + 27 D. 4x + 8y + 10

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Answer:

Correct choice is C

Step-by-step explanation:

The Distributive Property says that

[tex]a\cdot (b+c)=a\cdot b+a\cdot c.[/tex]

Applying the Distributive property to the expression [tex]4(x + 2y + 4),[/tex] you'll get

[tex]4(x + 2y + 4)=4\cdot x+4\cdot 2y+4\cdot 4=4x+8y+16.[/tex]

Hence,

[tex]11 + 4(x + 2y + 4)=11+4x+8y+16.[/tex]

There are only two like terms 11 and 16, combining them you'll get

[tex]11 + 4(x + 2y + 4)=11+4x+8y+16=(11+16)+4x+8y=27+4x+8y.[/tex]

Answer:

C. 4x+8y+27

Step-by-step explanation:

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