Evaluate
9x^{2}+6x-19
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9x^{2}+6x-19
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6x-3-\left(-3x-4\right)\left(3x-4\right)
Use the distributive property to multiply 3 by 2x-1.
6x-3-\left(-9x^{2}+12x-12x+16\right)
Apply the distributive property by multiplying each term of -3x-4 by each term of 3x-4.
6x-3-\left(-9x^{2}+16\right)
Combine 12x and -12x to get 0.
6x-3-\left(-9x^{2}\right)-16
To find the opposite of -9x^{2}+16, find the opposite of each term.
6x-3+9x^{2}-16
The opposite of -9x^{2} is 9x^{2}.
6x-19+9x^{2}
Subtract 16 from -3 to get -19.
6x-3-\left(-3x-4\right)\left(3x-4\right)
Use the distributive property to multiply 3 by 2x-1.
6x-3-\left(-9x^{2}+12x-12x+16\right)
Apply the distributive property by multiplying each term of -3x-4 by each term of 3x-4.
6x-3-\left(-9x^{2}+16\right)
Combine 12x and -12x to get 0.
6x-3-\left(-9x^{2}\right)-16
To find the opposite of -9x^{2}+16, find the opposite of each term.
6x-3+9x^{2}-16
The opposite of -9x^{2} is 9x^{2}.
6x-19+9x^{2}
Subtract 16 from -3 to get -19.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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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