Evaluate
14x^{2}-10x+6
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14x^{2}-10x+6
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12-8x+2x^{2}-6\left(1+\frac{1}{3}x-2x^{2}\right)
Use the distributive property to multiply 4 by 3-2x+\frac{1}{2}x^{2}.
12-8x+2x^{2}-6-2x+12x^{2}
Use the distributive property to multiply -6 by 1+\frac{1}{3}x-2x^{2}.
6-8x+2x^{2}-2x+12x^{2}
Subtract 6 from 12 to get 6.
6-10x+2x^{2}+12x^{2}
Combine -8x and -2x to get -10x.
6-10x+14x^{2}
Combine 2x^{2} and 12x^{2} to get 14x^{2}.
12-8x+2x^{2}-6\left(1+\frac{1}{3}x-2x^{2}\right)
Use the distributive property to multiply 4 by 3-2x+\frac{1}{2}x^{2}.
12-8x+2x^{2}-6-2x+12x^{2}
Use the distributive property to multiply -6 by 1+\frac{1}{3}x-2x^{2}.
6-8x+2x^{2}-2x+12x^{2}
Subtract 6 from 12 to get 6.
6-10x+2x^{2}+12x^{2}
Combine -8x and -2x to get -10x.
6-10x+14x^{2}
Combine 2x^{2} and 12x^{2} to get 14x^{2}.
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