Evaluate
5\left(x^{2}-2x+2\right)
Expand
5x^{2}-10x+10
Graph
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9-12x+4x^{2}+\left(-1-x\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3-2x\right)^{2}.
9-12x+4x^{2}+1+2x+x^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(-1-x\right)^{2}.
10-12x+4x^{2}+2x+x^{2}
Add 9 and 1 to get 10.
10-10x+4x^{2}+x^{2}
Combine -12x and 2x to get -10x.
10-10x+5x^{2}
Combine 4x^{2} and x^{2} to get 5x^{2}.
9-12x+4x^{2}+\left(-1-x\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3-2x\right)^{2}.
9-12x+4x^{2}+1+2x+x^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(-1-x\right)^{2}.
10-12x+4x^{2}+2x+x^{2}
Add 9 and 1 to get 10.
10-10x+4x^{2}+x^{2}
Combine -12x and 2x to get -10x.
10-10x+5x^{2}
Combine 4x^{2} and x^{2} to get 5x^{2}.
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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