What is (x^2+9x+18)(x^2+9x+20)+1 ?

The solution to (x^2+9x+18)(x^2+9x+20)+1 is x^4+18x^3+119x^2+342x+361

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simplify (x^2+9x+18)(x^2+9x+20)+1

simplify

(x^{2} + 9 x + 18) (x^{2} + 9 x + 20) + 1

x^{4} + 18 x^{3} + 119 x^{2} + 342 x + 361

Solution steps

(x^{2} + 9 x + 18) (x^{2} + 9 x + 20) + 1

Expand

(x^{2} + 9 x + 18) (x^{2} + 9 x + 20) : x^{4} + 18 x^{3} + 119 x^{2} + 342 x + 360

= x^{4} + 18 x^{3} + 119 x^{2} + 342 x + 360 + 1

Add the numbers:

360 + 1 = 361

= x^{4} + 18 x^{3} + 119 x^{2} + 342 x + 361

(2^{x})^{y}

\frac{( x ^{2} + 7 x + 10 )}{( x + 5 )}

4 x^{3} - 6 x^{2} \cdot y + 9 x \cdot y^{2}

x - \frac{x}{2} - \frac{x}{4} - \frac{x}{8} - \frac{x}{20}

- (2 - x)^{3}

What is (x^2+9x+18)(x^2+9x+20)+1 ?
The solution to (x^2+9x+18)(x^2+9x+20)+1 is x^4+18x^3+119x^2+342x+361