Evaluate
\left(x-1\right)\left(5x-4\right)
Expand
5x^{2}-9x+4
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9x^{2}-3x^{2}-6x+7+2x-3-5x-x^{2}
To find the opposite of 3x^{2}+6x-7, find the opposite of each term.
6x^{2}-6x+7+2x-3-5x-x^{2}
Combine 9x^{2} and -3x^{2} to get 6x^{2}.
6x^{2}-4x+7-3-5x-x^{2}
Combine -6x and 2x to get -4x.
6x^{2}-4x+4-5x-x^{2}
Subtract 3 from 7 to get 4.
6x^{2}-9x+4-x^{2}
Combine -4x and -5x to get -9x.
5x^{2}-9x+4
Combine 6x^{2} and -x^{2} to get 5x^{2}.
9x^{2}-3x^{2}-6x+7+2x-3-5x-x^{2}
To find the opposite of 3x^{2}+6x-7, find the opposite of each term.
6x^{2}-6x+7+2x-3-5x-x^{2}
Combine 9x^{2} and -3x^{2} to get 6x^{2}.
6x^{2}-4x+7-3-5x-x^{2}
Combine -6x and 2x to get -4x.
6x^{2}-4x+4-5x-x^{2}
Subtract 3 from 7 to get 4.
6x^{2}-9x+4-x^{2}
Combine -4x and -5x to get -9x.
5x^{2}-9x+4
Combine 6x^{2} and -x^{2} to get 5x^{2}.
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y = 3x + 4
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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
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Limits
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