Simplify the expression 3(x + y + xy) + xyz - 2xy - 30 and find its value when x = 6 , y = -7, and z = 4.

- 196

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201

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- 148

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- 201

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Solution

The correct option is D - 201
3(x + y + xy) + xyz - 2xy - 30
= 3x + 3y + 3xy + xyz - 2xy - 30
Grouping like terms together, we get
= 3x + 3y + (3xy - 2xy) + xyz - 30
= 3x + 3y + xyz + xy - 30 ---(1)

Substituting x = 6, y = - 7, z = 4 in the equation (1),
= {3(6) + 3(-7) + (6)(-7)(4) + (6)(-7) - 30}
$= 3 \times 6 - 3 \times 7 + 6 \times (- 7) \times 4 + 6 \times (- 7) - 30$
$= 18 - 21 - 168 - 42 - 30$
$= - 243$

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