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Expand and simplify.a x(3x − 1) + x(4 − x)

Question

Expand and simplify.a x(3x − 1) + x(4 − x)

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Solution

Sure, let's expand and simplify the expression step by step.

  1. Distribute the x in both terms:

    ax(3x) - ax(1) + x*(4) - x*(x)

  2. Simplify:

    3ax^2 - ax + 4x - x^2

  3. Combine like terms:

    (3a - 1)x^2 + (4 - a)x

So, a*x(3x − 1) + x(4 − x) simplifies to (3a - 1)x^2 + (4 - a)x.

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