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= 100² - 2²
= 10000 - 4
= 9996
b. 1003 × 97 = (1000 + 3) (100 - 3)
= 1000 × 100 - 3 (1000 - 100) - 9
= 100.000 - 3(900) - 9
= 100.000 - 2700 - 9
= 100.000 - 2709
= 97291
c. 205² = (200 + 5)(200 + 5)
= 200² + 2(200)(5) + 5²
= 40.000 + 2000 + 25
= 42.025
d. 398² = (400 - 2) (400 - 2)
= 400² - 2(400)(2) + 2²
= 160.000 - 1600 + 4
= 158.404
b. 1003 x 97 = (1000 + 3)(100-3) = 100000 - 3000 + 300 - 9 = 97291
c. 205² = (200+5)(200+5) = 40000 + 1000 + 1000 + 25 = 42025
d. 398² = (400-2)(400-2) = 160000 - 800 - 800 + 4 = 158404