What is expand (x^2-2x+3)(x^2+2x+3) ?

The solution to expand (x^2-2x+3)(x^2+2x+3) is x^4+2x^2+9

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expand (x^2-2x+3)(x^2+2x+3)

expand

(x^{2} - 2 x + 3) (x^{2} + 2 x + 3)

x^{4} + 2 x^{2} + 9

Solution steps

(x^{2} - 2 x + 3) (x^{2} + 2 x + 3)

Distribute parentheses

= x^{2} x^{2} + x^{2} \cdot 2 x + x^{2} \cdot 3 - 2 x x^{2} - 2 x \cdot 2 x - 2 x \cdot 3 + 3 x^{2} + 3 \cdot 2 x + 3 \cdot 3

Simplify

x^{2} x^{2} + x^{2} \cdot 2 x + x^{2} \cdot 3 - 2 x x^{2} - 2 x \cdot 2 x - 2 x \cdot 3 + 3 x^{2} + 3 \cdot 2 x + 3 \cdot 3 : x^{4} + 2 x^{2} + 9

= x^{4} + 2 x^{2} + 9

2 x^{2} \cdot 3 x^{3}

75 x^{8} + 27 x^{8}

(x + 3)^{3} - 8

\frac{1}{x - 3} + \frac{1}{x + 3}

\frac{x ^{2} + 8 x + 15}{( x + 5 )}

What is expand (x^2-2x+3)(x^2+2x+3) ?
The solution to expand (x^2-2x+3)(x^2+2x+3) is x^4+2x^2+9