1.

Factorise:pq²+q(p-1) -1=?​

Answer»

GIVEN

<P>

Factorise:

pq²+q(p-1) -1

Solution

➟ pq² + q(p - 1) - 1

➟ pq² + qp - q - 1

➟ pq(q + 1) - 1(q + 1)

➟ (q + 1)(pq - 1)

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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