Question

Factorise x(x+1)(x-2)(x-3)-4​

Answer 1

Answer:

$\huge\bold\purple{Given :-}$

➪ x(x + 1) (x - 2) (x - 3) - 4

$\huge\bold\green{Solution :-}$

➪ x(x + 1) (x - 2) (x - 3) - 4

➭ (x² + x) (x - 2) (x - 3) - 4

➭ x²(x - 2) + x(x - 2) (x - 3) - 4

➭ (x³ - 2x² + x² - 2x) (x - 3) - 4

➭ (x³ - x² - 2x) (x - 3) - 4

➭ x(x³ - x² - 2x) - 3(x³ - x² - 2x) - 4

➭ x⁴ - x³ - 2x² - 3x³ + 3x² + 6x - 4

➭ x⁴ - x³ - 3x³ - 2x² + 3x² + 6x - 4

➭ x⁴ - 4x³ + x² + 6x - 4

∴ The answer of this question is

x⁴ - 4x³ + x² + 6x - 4