What is (x+2)(x-3)(x-1)(x-b)+56 ?

The solution to (x+2)(x-3)(x-1)(x-b)+56 is x^4-2x^3-5x^2+6x-bx^3+2bx^2+5bx-6b+56

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x+2)(x-3)(x-1)(x-b)+56

simplify

(x + 2) (x - 3) (x - 1) (x - b) + 56

x^{4} - 2 x^{3} - 5 x^{2} + 6 x - b x^{3} + 2 b x^{2} + 5 b x - 6 b + 56

Solution steps

(x + 2) (x - 3) (x - 1) (x - b) + 56

Apply FOIL method

(x + 2) (x - 3) : x^{2} - x - 6

= (x^{2} - x - 6) (x - 1) (x - b) + 56

Apply FOIL method

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

= (x^{2} - x - 6) (x^{2} - b x - x + b) + 56

Distribute parentheses

= x^{2} x^{2} + x^{2} (- b x) + x^{2} (- x) + x^{2} b - x x^{2} - x (- b x) - x (- x) - x b - 6 x^{2} - 6 (- b x) - 6 (- x) - 6 b + 56

Simplify

x^{2} x^{2} + x^{2} (- b x) + x^{2} (- x) + x^{2} b - x x^{2} - x (- b x) - x (- x) - x b - 6 x^{2} - 6 (- b x) - 6 (- x) - 6 b : x^{4} - 2 x^{3} - 5 x^{2} + 6 x - b x^{3} + 2 b x^{2} + 5 b x - 6 b

= x^{4} - 2 x^{3} - 5 x^{2} + 6 x - b x^{3} + 2 b x^{2} + 5 b x - 6 b + 56

sin^{2} (\frac{x}{3} + \frac{x}{2})

(p + q - r)^{2} - (p - q + r)^{2}

m^{4} - 14 m^{2} + 1

- 5 x + (- x)

- t - 77

What is (x+2)(x-3)(x-1)(x-b)+56 ?
The solution to (x+2)(x-3)(x-1)(x-b)+56 is x^4-2x^3-5x^2+6x-bx^3+2bx^2+5bx-6b+56