We know the identities

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Let’s factorise using these identities

 

x 2 + 4x + 4

x 2 + 4x + 4

= x 2 + 4 + 4x

= x 2 + (2) 2 + 2 × 2 × x

 

Using (a + b) 2 = a 2 + b 2 + 2ab

Where a = x , b = 2

= (x + 2) 2

 

 

4x 2 + 12x + 9

4x 2 + 12x + 9

  = 4x 2 + 9 + 12x

  = (2x) 2 + 3 2 + 2 × 2x × 3

 

Using (a+b) 2 = a 2 + b 2 + 2ab

Where a = 2x, b = 3

  = (2 x + 3 ) 2

 

x 2 − 4x + 4

 

x 2 – 4x + 4

= x 2 + 4 – 4x

= x 2 + (2) 2 – 2 × 2 × x

Using (a - b) 2 = a 2 + b 2 – 2ab

Where a = x, b = 2

= (x - 2) 2

 

 

4x 2 – 12x + 9

4x 2 – 12x + 9

           = 4x 2 + 9 – 12x

           = (2x) 2 + 3 2 – 2 × 2x × 3

 

Using (a - b) 2 = a 2 + b 2 – 2ab

Where a = 2x, b = 3

            = (2 x - 3 ) 2

 

4x 2 − 9

4x 2 − 9

= (2x) 2 − 3 2

Using a 2 - b 2 = (a - b)  (a + b)

Where a = 2x, b = 3

  = (2𝑥 − 3) (2𝑥 + 3)

 

y 4 − 16

y 4 − 16

= (y 2 ) 2 − (4) 2

 

Using a 2 - b 2 = (a - b) (a + b)

Where a = y 2 , b = 4

= (y 2 - 4) (y 2 + 4)

= (y 2 - 2 2 ) (y 2 + 4)

 

 

Using a 2 - b 2 = (a - b)  (a + b)

Where a = y 2 , b = 4

  = (y − 2) (y + 2) (y 2 + 4)

 

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.