Question

x³+x²-4x-4
urgently plz plz plz ​

Answer 1

Step-by-step explanation:

x³+x²-4x-4

x²(x+1)-4(x+1)

(x²-4)(x+1)

(x+2)(x-2)(x+1)

Answer 2

Given

x³ + x² - 4x - 4

Factorise it

Solution

= x³ + x² - 4x - 4

= x³ - 4x + x² - 4

= x(x² - 4) + 1(x² - 4)

= (x² - 4) (x+1)

Applying identity → a² - b² = (a+b)(a-b)

= [ (x)² - (2)²] (x+1)

= [(x+2)(x-2)] (x+1)

= (x+2)(x-2)(x+1)

Some important identities

• (a+b)² = a² + b² +2ab
• (a-b)² = a² + b² - 2ab
• (a+b)³ = a³ + b³ + 3ab(a+b)
• (a-b)³ = a³ -b³ - 3ab(a-b)
• a² - b² = (a+b)(a-b)
• a³ + b³ = (a+b)(a² - ab +b²)
• a³ - b³ = (a-b)(a² + ab +b²)