What is (x-1)(x-2)(x-3)(x-4)(x-5)+1 ?

The solution to (x-1)(x-2)(x-3)(x-4)(x-5)+1 is x^5-15x^4+85x^3-225x^2+274x-119

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x-1)(x-2)(x-3)(x-4)(x-5)+1

simplify

(x - 1) (x - 2) (x - 3) (x - 4) (x - 5) + 1

x^{5} - 15 x^{4} + 85 x^{3} - 225 x^{2} + 274 x - 119

Solution steps

(x - 1) (x - 2) (x - 3) (x - 4) (x - 5) + 1

Expand

(x - 1) (x - 2) (x - 3) (x - 4) (x - 5) : x^{5} - 15 x^{4} + 85 x^{3} - 225 x^{2} + 274 x - 120

= x^{5} - 15 x^{4} + 85 x^{3} - 225 x^{2} + 274 x - 120 + 1

Add the numbers:

- 120 + 1 = - 119

= x^{5} - 15 x^{4} + 85 x^{3} - 225 x^{2} + 274 x - 119

\frac{tan ( θ )}{sin ( θ )}

sec (x) - sin (x) tan (x)

- 2 (3 a^{2} + a - 2 b) + 9 (a + 4 b) + 6 a^{2}

cos^{3} (x) + sin^{2} (x) cos (x)

\frac{- P \cdot 1 0 ^{3} \cdot 2000}{5026549 \cdot 150}

What is (x-1)(x-2)(x-3)(x-4)(x-5)+1 ?
The solution to (x-1)(x-2)(x-3)(x-4)(x-5)+1 is x^5-15x^4+85x^3-225x^2+274x-119