Evaluate
2x^{2}+23xy-19y^{2}
Expand
2x^{2}+23xy-19y^{2}
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6x^{2}+11xy-10y^{2}-\left(2x-3y\right)^{2}
Use the distributive property to multiply 2x+5y by 3x-2y and combine like terms.
6x^{2}+11xy-10y^{2}-\left(4x^{2}-12xy+9y^{2}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-3y\right)^{2}.
6x^{2}+11xy-10y^{2}-4x^{2}+12xy-9y^{2}
To find the opposite of 4x^{2}-12xy+9y^{2}, find the opposite of each term.
2x^{2}+11xy-10y^{2}+12xy-9y^{2}
Combine 6x^{2} and -4x^{2} to get 2x^{2}.
2x^{2}+23xy-10y^{2}-9y^{2}
Combine 11xy and 12xy to get 23xy.
2x^{2}+23xy-19y^{2}
Combine -10y^{2} and -9y^{2} to get -19y^{2}.
6x^{2}+11xy-10y^{2}-\left(2x-3y\right)^{2}
Use the distributive property to multiply 2x+5y by 3x-2y and combine like terms.
6x^{2}+11xy-10y^{2}-\left(4x^{2}-12xy+9y^{2}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-3y\right)^{2}.
6x^{2}+11xy-10y^{2}-4x^{2}+12xy-9y^{2}
To find the opposite of 4x^{2}-12xy+9y^{2}, find the opposite of each term.
2x^{2}+11xy-10y^{2}+12xy-9y^{2}
Combine 6x^{2} and -4x^{2} to get 2x^{2}.
2x^{2}+23xy-10y^{2}-9y^{2}
Combine 11xy and 12xy to get 23xy.
2x^{2}+23xy-19y^{2}
Combine -10y^{2} and -9y^{2} to get -19y^{2}.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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