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Question

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

A
- 196
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B
201
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C
- 148
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D
- 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}
=3×63×7+6×(7)×4+6×(7)30
=18211684230
=243

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