Using the identity (a²- b²) = (a + b)(a - b), evaluate each of the following:
(i) (6 4/11)²_ (4 7/11)²
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2
Answer:
19
Step-by-step explanation:
(6 4/11)² - (4 7/11)²
= (6×11+4 /11)² - (4×11+7 /11)²
= (70/11)² - (51/11)²
= (70/11 + 51/11 ) (70/11 - 51/11) (Using a²-b² rule)
= (121/11) (19/11)
= 209/11
= 19
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