Sarthaks Test
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Use a suitable identity to get each of the following products.

(i) (1.1m − 0.4) (1.1 m + 0.4) 

(ii) (a2 + b2) (− a2 + b2)

(iii) (6x − 7) (6x + 7)

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(i) (1.1m − 0.4) (1.1 m + 0.4)

= (1.1m)2 − (0.4)2 [(a + b) (a − b) = a2 − b2]

= 1.21m2 − 0.16

(ii) (a2 + b2) (− a2 + b2) = (b2 + a2) (b2 − a2)

= (b2)2 − (a2)2 [(a + b) (a − b) = a2 − b2]

= b4 − a4

(iii) (6x − 7) (6x + 7) = (6x)2 − (7)2 [(a + b) (a − b) = a2 − b2]

= 36x2 − 49

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