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6x^{2}-9x+1
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6x^{2}-9x+1
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30x^{2}+5x-18x-3-4\left(2x-1\right)\left(3x+1\right)
Apply the distributive property by multiplying each term of 5x-3 by each term of 6x+1.
30x^{2}-13x-3-4\left(2x-1\right)\left(3x+1\right)
Combine 5x and -18x to get -13x.
30x^{2}-13x-3+\left(-8x+4\right)\left(3x+1\right)
Use the distributive property to multiply -4 by 2x-1.
30x^{2}-13x-3-24x^{2}-8x+12x+4
Apply the distributive property by multiplying each term of -8x+4 by each term of 3x+1.
30x^{2}-13x-3-24x^{2}+4x+4
Combine -8x and 12x to get 4x.
6x^{2}-13x-3+4x+4
Combine 30x^{2} and -24x^{2} to get 6x^{2}.
6x^{2}-9x-3+4
Combine -13x and 4x to get -9x.
6x^{2}-9x+1
Add -3 and 4 to get 1.
30x^{2}+5x-18x-3-4\left(2x-1\right)\left(3x+1\right)
Apply the distributive property by multiplying each term of 5x-3 by each term of 6x+1.
30x^{2}-13x-3-4\left(2x-1\right)\left(3x+1\right)
Combine 5x and -18x to get -13x.
30x^{2}-13x-3+\left(-8x+4\right)\left(3x+1\right)
Use the distributive property to multiply -4 by 2x-1.
30x^{2}-13x-3-24x^{2}-8x+12x+4
Apply the distributive property by multiplying each term of -8x+4 by each term of 3x+1.
30x^{2}-13x-3-24x^{2}+4x+4
Combine -8x and 12x to get 4x.
6x^{2}-13x-3+4x+4
Combine 30x^{2} and -24x^{2} to get 6x^{2}.
6x^{2}-9x-3+4
Combine -13x and 4x to get -9x.
6x^{2}-9x+1
Add -3 and 4 to get 1.
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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