What is (x^2+sqrt(x)+1)(x^2-sqrt(x)+1) ?

The solution to (x^2+sqrt(x)+1)(x^2-sqrt(x)+1) is x^4+2x^2-x+1

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simplify (x^2+sqrt(x)+1)(x^2-sqrt(x)+1)

simplify

(x^{2} + x + 1) (x^{2} - x + 1)

x^{4} + 2 x^{2} - x + 1

Solution steps

(x^{2} + x + 1) (x^{2} - x + 1)

Distribute parentheses

= x^{2} x^{2} + x^{2} (- x) + x^{2} \cdot 1 + x x^{2} + x (- x) + x \cdot 1 + 1 \cdot x^{2} + 1 \cdot (- x) + 1 \cdot 1

Simplify

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

= x^{4} + 2 x^{2} - x + 1

(2 y^{2} + 3 x y - 2 y + 6 x) d x + x (x + 2 y - 1) d y

(2 x + e^{y} + y e^{x}) d x + (2 y + e^{x} - x e^{y}) d y

\frac{x ( - x - 2 ) ^{2}}{2}

A (2, - 3) y B (4, 5)

(x^{2} + 5) e^{9 x + 4}

What is (x^2+sqrt(x)+1)(x^2-sqrt(x)+1) ?
The solution to (x^2+sqrt(x)+1)(x^2-sqrt(x)+1) is x^4+2x^2-x+1