Evaluate
4\left(\left(2x+y\right)^{2}+y+2x-1\right)
Expand
16x^{2}+16xy+8x+4y^{2}+4y-4
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4\left(4x^{2}+4xy+y^{2}\right)+4\left(2x+y-1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+y\right)^{2}.
16x^{2}+16xy+4y^{2}+4\left(2x+y-1\right)
Use the distributive property to multiply 4 by 4x^{2}+4xy+y^{2}.
16x^{2}+16xy+4y^{2}+8x+4y-4
Use the distributive property to multiply 4 by 2x+y-1.
4\left(4x^{2}+4xy+y^{2}\right)+4\left(2x+y-1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+y\right)^{2}.
16x^{2}+16xy+4y^{2}+4\left(2x+y-1\right)
Use the distributive property to multiply 4 by 4x^{2}+4xy+y^{2}.
16x^{2}+16xy+4y^{2}+8x+4y-4
Use the distributive property to multiply 4 by 2x+y-1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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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