Simplify the expression $5 + 7 [3 (4 x + 9) + 8]$

42 x + 200

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82 x + 250

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84 x + 200

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84 x + 250

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Solution

The correct option is D $84 x + 250$
Given, $5 + 7 [3 (4 x + 9) + 8]$ .
First, we solve the terms within the square bracket.
$= 5 + 7 [3 \times 4 x + 3 \times 9 + 8]$
$= 5 + 7 [12 x + 27 + 8]$
Add the like terms within the square bracket.
$= 5 + 7 [12 x + 35]$
Apply distributive property of multiplication over addition.
$= 5 + 7 \times 12 x + 7 \times 35$
$= 5 + 84 x + 245$
$= 84 x + 250$
(Adding like terms together)
Therefore, $5 + 7 [3 (4 x + 9) + 8] = 84 x + 250$

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5 + 7 x [3 (4 x + 9) + 8]

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