Evaluate
8y^{2}-2x^{2}
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8y^{2}-2x^{2}
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2\left(x^{2}-4xy+4y^{2}\right)-4x\left(x-2y\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2y\right)^{2}.
2x^{2}-8xy+8y^{2}-4x\left(x-2y\right)
Use the distributive property to multiply 2 by x^{2}-4xy+4y^{2}.
2x^{2}-8xy+8y^{2}-4x^{2}+8xy
Use the distributive property to multiply -4x by x-2y.
-2x^{2}-8xy+8y^{2}+8xy
Combine 2x^{2} and -4x^{2} to get -2x^{2}.
-2x^{2}+8y^{2}
Combine -8xy and 8xy to get 0.
2\left(x^{2}-4xy+4y^{2}\right)-4x\left(x-2y\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2y\right)^{2}.
2x^{2}-8xy+8y^{2}-4x\left(x-2y\right)
Use the distributive property to multiply 2 by x^{2}-4xy+4y^{2}.
2x^{2}-8xy+8y^{2}-4x^{2}+8xy
Use the distributive property to multiply -4x by x-2y.
-2x^{2}-8xy+8y^{2}+8xy
Combine 2x^{2} and -4x^{2} to get -2x^{2}.
-2x^{2}+8y^{2}
Combine -8xy and 8xy to get 0.
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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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