Question

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

Answer 1

Answer:

Answer is yes

Step-by-step explanation:

hence proved answer is yes both are equal

Answer 2

Given : Find the value of x : (x + 1) (x + 2) = (x - 3) (x - 4)

Solution :

➜ (x + 1) (x + 2) = (x - 3) (x - 4)

➜ x (x + 2) + 1 (x + 2) = x (x - 4) - 3 (x - 4)

➜ x² + 2x + x + 2 = x² - 4x - 3x + 12

➜ x² + 2x + x + 2 - x² + 4x + 3x - 12 = 0

➜ x² - x² + 2x + 4x + x + 3x + 2 - 12 = 0

➜ 6x + 4x - 10 = 0

➜ 10x - 10 = 0

➜ 10x = 10

➜ x = 10/10

➜ x = 1

{Verification :

➜ (x + 1) (x + 2) = (x - 3) (x - 4)

Put value of x = 1 in above equation;

➜ (1 + 1) (1 + 2) = (1 - 3) (1 - 4)

➜ 2 * 3 = - 2 * ( - 3)

➜ 6 = 6

Hence it's verified}

{Formulae :

• (a + b)² = a² + 2ab + b²
• (a - b)² = a² - 2ab + b²
• a² - b² = (a - b) (a + b)
• a³ - b³ = (a - b) (a² + ab + b²)
• a³ + b³ = (a + b) (a² - ab + b²)
• (a + b + c)² = a² + b² + c² + 2(ab + bc + ca)}