1.

Factorise:a²+bc+ab+ac=?​

Answer»

Given

Factorise:

a²+bc+ab+AC

Solution

➟ a² + bc + ab + ac

➟ a² + ac + ab + bc

➟ a(a + c) + b(a + c)

➟ (a + c)(a + b)

Some IDENTITIES

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

\rule{200}3


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