Evaluate
4\left(x^{4}+9x^{2}+81\right)
Expand
4x^{4}+36x^{2}+324
Graph
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4\left(\left(x^{2}\right)^{2}+18x^{2}+81\right)-36x^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x^{2}+9\right)^{2}.
4\left(x^{4}+18x^{2}+81\right)-36x^{2}
To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.
4x^{4}+72x^{2}+324-36x^{2}
Use the distributive property to multiply 4 by x^{4}+18x^{2}+81.
4x^{4}+36x^{2}+324
Combine 72x^{2} and -36x^{2} to get 36x^{2}.
4\left(\left(x^{2}\right)^{2}+18x^{2}+81\right)-36x^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x^{2}+9\right)^{2}.
4\left(x^{4}+18x^{2}+81\right)-36x^{2}
To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.
4x^{4}+72x^{2}+324-36x^{2}
Use the distributive property to multiply 4 by x^{4}+18x^{2}+81.
4x^{4}+36x^{2}+324
Combine 72x^{2} and -36x^{2} to get 36x^{2}.
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