Evaluate
\frac{3x-3y}{2}\times \frac{11x-3y}{2}
Expand
-\frac{21xy}{2}+\frac{9y^{2}}{4}+\frac{33x^{2}}{4}
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12.25x^{2}-10.5xy+2.25y^{2}-\left(1.5x-3.5x\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3.5x-1.5y\right)^{2}.
12.25x^{2}-10.5xy+2.25y^{2}-\left(-2x\right)^{2}
Combine 1.5x and -3.5x to get -2x.
12.25x^{2}-10.5xy+2.25y^{2}-\left(-2\right)^{2}x^{2}
Expand \left(-2x\right)^{2}.
12.25x^{2}-10.5xy+2.25y^{2}-4x^{2}
Calculate -2 to the power of 2 and get 4.
8.25x^{2}-10.5xy+2.25y^{2}
Combine 12.25x^{2} and -4x^{2} to get 8.25x^{2}.
12.25x^{2}-10.5xy+2.25y^{2}-\left(1.5x-3.5x\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3.5x-1.5y\right)^{2}.
12.25x^{2}-10.5xy+2.25y^{2}-\left(-2x\right)^{2}
Combine 1.5x and -3.5x to get -2x.
12.25x^{2}-10.5xy+2.25y^{2}-\left(-2\right)^{2}x^{2}
Expand \left(-2x\right)^{2}.
12.25x^{2}-10.5xy+2.25y^{2}-4x^{2}
Calculate -2 to the power of 2 and get 4.
8.25x^{2}-10.5xy+2.25y^{2}
Combine 12.25x^{2} and -4x^{2} to get 8.25x^{2}.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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