Question

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

Answer 1

C. 4x+8y+27

Explanation:

Answer 2

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.`