Q4 of 157 Page 22

Find out the following squares by using the identities:

0.54 × 0.54 – 0.46 × 0.46

∵ (a2 – b2) = (a – b) × (a + b)


∴ (0.54 × 0.54 – 0.46 × 0.46) = (0.54)2 – (0.46)2


⇒ 0.54 × 0.54 – 0.46 × 0.46 = (0.54 – 0.46) (0.56 + 0.46)


⇒ 0.54 × 0.54 – 0.46 × 0.46 = 0.08×1.02


⇒ 0.54 × 0.54 – 0.46 × 0.46 = 0.0816


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