What is expand (x^2+4)(x^2-sqrt(12)x+4) ?

The solution to expand (x^2+4)(x^2-sqrt(12)x+4) is x^4-2sqrt(3)x^3+8x^2-8sqrt(3)x+16

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expand (x^2+4)(x^2-sqrt(12)x+4)

expand

(x^{2} + 4) (x^{2} - 12 x + 4)

x^{4} - 23 x^{3} + 8 x^{2} - 83 x + 16

Solution steps

(x^{2} + 4) (x^{2} - 12 x + 4)

Distribute parentheses

= x^{2} x^{2} + x^{2} (- 12 x) + x^{2} \cdot 4 + 4 x^{2} + 4 (- 12 x) + 4 \cdot 4

Simplify

x^{2} x^{2} + x^{2} (- 12 x) + x^{2} \cdot 4 + 4 x^{2} + 4 (- 12 x) + 4 \cdot 4 : x^{4} - 23 x^{3} + 8 x^{2} - 83 x + 16

= x^{4} - 23 x^{3} + 8 x^{2} - 83 x + 16

(x^{2} + 22 \cdot x + 4) \cdot (x^{2} - 22 \cdot x + 4)

(- 1 - 3) + i (1 - 3)

(1 - \frac{1}{( x + 3 )}) (1 - \frac{1}{x + 2}) (1 - \frac{1}{x + 1})

(\frac{3173}{126})^{2} \cdot (\frac{1}{( 47 ) ^{2}} + \frac{1}{( 79 ) ^{2}} \cdot 1.9)

\frac{4 ( x + 6 ) ^{5}}{x ^{3}}

What is expand (x^2+4)(x^2-sqrt(12)x+4) ?
The solution to expand (x^2+4)(x^2-sqrt(12)x+4) is x^4-2sqrt(3)x^3+8x^2-8sqrt(3)x+16