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2x^{2}+10x-27
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2x^{2}+10x-27
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2x^{2}-10x+2x-30+6x+3+12x
Use the distributive property to multiply 2x by x-5.
2x^{2}-8x-30+6x+3+12x
Combine -10x and 2x to get -8x.
2x^{2}-2x-30+3+12x
Combine -8x and 6x to get -2x.
2x^{2}-2x-27+12x
Add -30 and 3 to get -27.
2x^{2}+10x-27
Combine -2x and 12x to get 10x.
2x^{2}-10x+2x-30+6x+3+12x
Use the distributive property to multiply 2x by x-5.
2x^{2}-8x-30+6x+3+12x
Combine -10x and 2x to get -8x.
2x^{2}-2x-30+3+12x
Combine -8x and 6x to get -2x.
2x^{2}-2x-27+12x
Add -30 and 3 to get -27.
2x^{2}+10x-27
Combine -2x and 12x to get 10x.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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