Evaluate
\left(2x-3y\right)^{2}+4x-4y+1
Expand
4x^{2}-12xy+4x+9y^{2}-4y+1
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1+4x-4y+\left(2x-3y\right)^{2}
Use the distributive property to multiply 2 by 2x-2y.
1+4x-4y+4x^{2}-12xy+9y^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-3y\right)^{2}.
1+4x-4y+\left(2x-3y\right)^{2}
Use the distributive property to multiply 2 by 2x-2y.
1+4x-4y+4x^{2}-12xy+9y^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-3y\right)^{2}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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Matrix
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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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