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2x^{2}+3
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2x^{2}+3
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12x-4x^{2}-3+x+\left(2x-3\right)\left(3x-2\right)
Apply the distributive property by multiplying each term of 4x-1 by each term of 3-x.
13x-4x^{2}-3+\left(2x-3\right)\left(3x-2\right)
Combine 12x and x to get 13x.
13x-4x^{2}-3+6x^{2}-4x-9x+6
Apply the distributive property by multiplying each term of 2x-3 by each term of 3x-2.
13x-4x^{2}-3+6x^{2}-13x+6
Combine -4x and -9x to get -13x.
13x+2x^{2}-3-13x+6
Combine -4x^{2} and 6x^{2} to get 2x^{2}.
2x^{2}-3+6
Combine 13x and -13x to get 0.
2x^{2}+3
Add -3 and 6 to get 3.
12x-4x^{2}-3+x+\left(2x-3\right)\left(3x-2\right)
Apply the distributive property by multiplying each term of 4x-1 by each term of 3-x.
13x-4x^{2}-3+\left(2x-3\right)\left(3x-2\right)
Combine 12x and x to get 13x.
13x-4x^{2}-3+6x^{2}-4x-9x+6
Apply the distributive property by multiplying each term of 2x-3 by each term of 3x-2.
13x-4x^{2}-3+6x^{2}-13x+6
Combine -4x and -9x to get -13x.
13x+2x^{2}-3-13x+6
Combine -4x^{2} and 6x^{2} to get 2x^{2}.
2x^{2}-3+6
Combine 13x and -13x to get 0.
2x^{2}+3
Add -3 and 6 to get 3.
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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