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 + 1…

Question

asked Aug 21, 2020 160k views

2 Answers

Benard · Answer 1 · 2020-08-26T21:20:21+0000

Answer:

Correct choice is C

Explanation:

The Distributive Property says that

$a\cdot (b+c)=a\cdot b+a\cdot c.$

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

$4(x + 2y + 4)=4\cdot x+4\cdot 2y+4\cdot 4=4x+8y+16.$

Hence,

11 + 4(x + 2y + 4)=11+4x+8y+16.

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

11 + 4(x + 2y + 4)=11+4x+8y+16=(11+16)+4x+8y=27+4x+8y.