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\left(x^{2}\right)^{2}+16x^{2}x+64x^{2}+13\left(x^{2}+8x\right)-30
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x^{2}+8x\right)^{2}.
x^{4}+16x^{2}x+64x^{2}+13\left(x^{2}+8x\right)-30
To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.
x^{4}+16x^{3}+64x^{2}+13\left(x^{2}+8x\right)-30
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
x^{4}+16x^{3}+64x^{2}+13x^{2}+104x-30
Use the distributive property to multiply 13 by x^{2}+8x.
x^{4}+16x^{3}+77x^{2}+104x-30
Combine 64x^{2} and 13x^{2} to get 77x^{2}.
\left(x^{2}\right)^{2}+16x^{2}x+64x^{2}+13\left(x^{2}+8x\right)-30
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x^{2}+8x\right)^{2}.
x^{4}+16x^{2}x+64x^{2}+13\left(x^{2}+8x\right)-30
To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.
x^{4}+16x^{3}+64x^{2}+13\left(x^{2}+8x\right)-30
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
x^{4}+16x^{3}+64x^{2}+13x^{2}+104x-30
Use the distributive property to multiply 13 by x^{2}+8x.
x^{4}+16x^{3}+77x^{2}+104x-30
Combine 64x^{2} and 13x^{2} to get 77x^{2}.