Evaluate
\left(x-6\right)\left(x-1\right)
Expand
x^{2}-7x+6
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3x^{2}-6x+3-\left(x-1\right)\left(2x+3\right)
Use the distributive property to multiply 3 by x^{2}-2x+1.
3x^{2}-6x+3-\left(2x^{2}+x-3\right)
Use the distributive property to multiply x-1 by 2x+3 and combine like terms.
3x^{2}-6x+3-2x^{2}-x+3
To find the opposite of 2x^{2}+x-3, find the opposite of each term.
x^{2}-6x+3-x+3
Combine 3x^{2} and -2x^{2} to get x^{2}.
x^{2}-7x+3+3
Combine -6x and -x to get -7x.
x^{2}-7x+6
Add 3 and 3 to get 6.
3x^{2}-6x+3-\left(x-1\right)\left(2x+3\right)
Use the distributive property to multiply 3 by x^{2}-2x+1.
3x^{2}-6x+3-\left(2x^{2}+x-3\right)
Use the distributive property to multiply x-1 by 2x+3 and combine like terms.
3x^{2}-6x+3-2x^{2}-x+3
To find the opposite of 2x^{2}+x-3, find the opposite of each term.
x^{2}-6x+3-x+3
Combine 3x^{2} and -2x^{2} to get x^{2}.
x^{2}-7x+3+3
Combine -6x and -x to get -7x.
x^{2}-7x+6
Add 3 and 3 to get 6.
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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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