Evaluate
\left(2x+y\right)^{2}+8x+20
Expand
4x^{2}+4xy+8x+y^{2}+20
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\left(2x+y\right)^{2}+4\left(2x+4\right)+4
Multiply 2x+y and 2x+y to get \left(2x+y\right)^{2}.
4x^{2}+4xy+y^{2}+4\left(2x+4\right)+4
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+y\right)^{2}.
4x^{2}+4xy+y^{2}+8x+16+4
Use the distributive property to multiply 4 by 2x+4.
4x^{2}+4xy+y^{2}+8x+20
Add 16 and 4 to get 20.
\left(2x+y\right)^{2}+4\left(2x+4\right)+4
Multiply 2x+y and 2x+y to get \left(2x+y\right)^{2}.
4x^{2}+4xy+y^{2}+4\left(2x+4\right)+4
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+y\right)^{2}.
4x^{2}+4xy+y^{2}+8x+16+4
Use the distributive property to multiply 4 by 2x+4.
4x^{2}+4xy+y^{2}+8x+20
Add 16 and 4 to get 20.
Examples
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Simultaneous equation
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Differentiation
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Integration
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Limits
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