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Mathematics

Simplify:

-3(1 - x2) - 2{x2 - (3 - 2x2)}

Algebraic Expressions

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Answer

-3(1 - x2) - 2{x2 - (3 - 2x2)}

= -3(1 - x2) - 2{x2 - 3 + 2x2}

= -3(1 - x2) - 2{(x2 + 2x2) - 3}

= -3(1 - x2) - 2{3x2 - 3}

= -3 + 3x2 - 6x2 + 6

= (-3 + 6) + (3x2 - 6x2)

= 3 + (-3x2)

= 3 - 3x2

Hence, -3(1 - x2) - 2{x2 - (3 - 2x2)} = 3 - 3x2

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