What is expand (x+4)^2+((x^2)/2-1)^2 ?

The solution to expand (x+4)^2+((x^2)/2-1)^2 is (x^4+4)/4+8x+16

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expand (x+4)^2+((x^2)/2-1)^2

expand

(x + 4)^{2} + (\frac{x ^{2}}{2} - 1)^{2}

\frac{x ^{4} + 4}{4} + 8 x + 16

Solution steps

(x + 4)^{2} + (\frac{x ^{2}}{2} - 1)^{2}

Expand

(x + 4)^{2} : x^{2} + 8 x + 16

= x^{2} + 8 x + 16 + (\frac{x ^{2}}{2} - 1)^{2}

Expand

(\frac{x ^{2}}{2} - 1)^{2} : \frac{x ^{4} - 4 x ^{2} + 4}{4}

= x^{2} + 8 x + 16 + \frac{x ^{4} - 4 x ^{2} + 4}{4}

Join

x^{2} + 8 x + 16 + \frac{x ^{4} - 4 x ^{2} + 4}{4} : \frac{x ^{4} + 4}{4} + 8 x + 16

= \frac{x ^{4} + 4}{4} + 8 x + 16

\frac{( x ^{2} + 6 x + 9 )}{( x ^{2} - 9 )}

x (ln (u) - 2) u z

2 (j ln (t) + j - \frac{k}{t})

8 1^{u (7 p + 7 q)}

(1 - tan (x))^{5}

What is expand (x+4)^2+((x^2)/2-1)^2 ?
The solution to expand (x+4)^2+((x^2)/2-1)^2 is (x^4+4)/4+8x+16