Evaluate
\left(x^{2}+1\right)^{2}
Expand
x^{4}+2x^{2}+1
Graph
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\left(x^{2}\right)^{2}-2x^{2}+1+\left(2x\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x^{2}-1\right)^{2}.
x^{4}-2x^{2}+1+\left(2x\right)^{2}
To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.
x^{4}-2x^{2}+1+2^{2}x^{2}
Expand \left(2x\right)^{2}.
x^{4}-2x^{2}+1+4x^{2}
Calculate 2 to the power of 2 and get 4.
x^{4}+2x^{2}+1
Combine -2x^{2} and 4x^{2} to get 2x^{2}.
\left(x^{2}\right)^{2}-2x^{2}+1+\left(2x\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x^{2}-1\right)^{2}.
x^{4}-2x^{2}+1+\left(2x\right)^{2}
To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.
x^{4}-2x^{2}+1+2^{2}x^{2}
Expand \left(2x\right)^{2}.
x^{4}-2x^{2}+1+4x^{2}
Calculate 2 to the power of 2 and get 4.
x^{4}+2x^{2}+1
Combine -2x^{2} and 4x^{2} to get 2x^{2}.
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