# algebra

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Simplify the following expression

2(3 x - 2)(2nd Power) - 3x (x + 1) + 4

• algebra -

expand the first term and the second term

2(9x^2-12x+4)-3x^2-3x + 4
18x^2-24x+8-3x^2-3x+4
gather terms
15x^2-27x+12
(3x-3)(5x-4)
check that.

• algebra -

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

2 (9x^2 - 12 x +4) - 3 x^2 -3x + 4

18 x^2 - 24 x + 8 - 3x^2 -3x + 4

15 x^2 -27 x + 12
or
3(5 x^2 - 9 x + 4)

• algebra -

Oh, you can factor more
3(5 x^2 - 9 x + 4)
3 (5x-4)(x-1)

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