Q. 64.6( 10 Votes )

# Use the identity

Answer :

Given identity

(a – b)2 = a2 – 2ab + b2

(i) (x – 6)2

Using the given identity

Here a = x, b = 6

= x2 – 2× x × 6 +62

= x2 –12x +36

(ii)(3x – 5y)2

Using the given identity

Here a = 3x, b = 5y

= (3x)2 – 2× 3x × 5y + (5y)2

= 9x2 – 30xy +25y2

(iii)(5a – 4b)2

Using the given identity

Here a = 5a, b = 4b

= (5a)2 –2× 5a × 4b + (4b)2

= 25a2 – 40 ab + 16b2

(iv) (p2 – q2)2

Using the given identity

Here a = p2, b = q2

= (p2)2 – 2 × p2 × q2 + (q2)2

= p4 – 2 p2 q2 + q4

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