Solving (9.7) x (10.3) using (a + b)(a - b), find the value of a and b. Please answer it accurately and correctly
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Given : (9.7) x (10.3)
To Find : Solve using (a + b)(a - b),
Solution:
(9.7) x (10.3)
= (10.3) x (9.7)
10.3 = 10 + 0.3
9.7 = 10 - 0.3
a = 10
b = 0.3
(10 + 0.3)(10 - 0.3)
(a + b)(a - b) = a² - b²
= 10² - (0.3)²
= 100 - 0.09
= 99.91
(9.7) x (10.3) = 99.91
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