Evaluate
x\left(12x-13\right)
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12x^{2}-13x
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6x^{2}-10x-3x\left(1-2x\right)
Use the distributive property to multiply 2x by 3x-5.
6x^{2}-10x-3x+6x^{2}
Use the distributive property to multiply -3x by 1-2x.
6x^{2}-13x+6x^{2}
Combine -10x and -3x to get -13x.
12x^{2}-13x
Combine 6x^{2} and 6x^{2} to get 12x^{2}.
6x^{2}-10x-3x\left(1-2x\right)
Use the distributive property to multiply 2x by 3x-5.
6x^{2}-10x-3x+6x^{2}
Use the distributive property to multiply -3x by 1-2x.
6x^{2}-13x+6x^{2}
Combine -10x and -3x to get -13x.
12x^{2}-13x
Combine 6x^{2} and 6x^{2} to get 12x^{2}.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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