Question

X square + 5x + 6 factorise the following using appropriate identies

Answer 1

Solution :

By using Identity

x² + ( a + b ) x + ab = ( x + a ) ( x + b )

Now

→ x² + 5x + 6

→ x² + ( 2 + 3 ) x + 2 × 3

→ ( x + 2 ) ( x + 3 )

Another method :-

By splitting middle term

→ x² + 5x + 6

→ x² + 2x + 3x + 6

→ x ( x + 2 ) + 3 ( x + 3 )

→ ( x + 3 ) ( x + 2 )

Answer 2

YOUR QUESTION :

X² + 5x + 6 factorise the following using appropriate identies.

YOUR ANSWER :( x + 2 ) ( x + 3 )

ANSWER EXPLANATION :

Method : Spliting middle term.

Solution :

X² + 5x + 6

= x² + 2x + 3x + 6

= x ( x + 2 ) + 3 ( x + 2)

= ( x + 2 ) ( x + 3 )