Question

Which equivalent expression will be generated by applying the Distributive Property and combining like terms in the expression 11 + 4(x + 2y + 4)?

Answer 1

SOLUTION

TO DETERMINE

The equivalent expression will be generated by applying the Distributive Property and combining like terms in the expression

11 + 4(x + 2y + 4)

EVALUATION

Here the given expression is 11 + 4(x + 2y + 4)

Now

$\sf{11 + 4(x + 2y + 4)}$

$\sf{ = 11 + (4x + 8y + 16)} \: \: \: (by \: distributive \: property)$

$\sf{ = 4x + 8y + (11 + 16)} \: \: \: (by \: adding \: like \: terms)$

$\sf{ = 4x + 8y +27}$

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