What is sqrt((x+1)(x+2)(x+3)(x+4)+1) ?

The solution to sqrt((x+1)(x+2)(x+3)(x+4)+1) is sqrt(x^4+10x^3+35x^2+50x+25)

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simplify sqrt((x+1)(x+2)(x+3)(x+4)+1)

simplify

(x + 1) (x + 2) (x + 3) (x + 4) + 1

x^{4} + 10 x^{3} + 35 x^{2} + 50 x + 25

Solution steps

(x + 1) (x + 2) (x + 3) (x + 4) + 1

Expand

(x + 1) (x + 2) (x + 3) (x + 4) : x^{4} + 10 x^{3} + 35 x^{2} + 50 x + 24

= x^{4} + 10 x^{3} + 35 x^{2} + 50 x + 24 + 1

Add the numbers:

24 + 1 = 25

= x^{4} + 10 x^{3} + 35 x^{2} + 50 x + 25

- 1^{9}

\frac{3}{4} \cdot 60

\frac{14}{3 + 2}

12 x^{3} y^{2}

\frac{x ^{2} - 2 x - 3}{x ^{2} - x - 6}

What is sqrt((x+1)(x+2)(x+3)(x+4)+1) ?
The solution to sqrt((x+1)(x+2)(x+3)(x+4)+1) is sqrt(x^4+10x^3+35x^2+50x+25)