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8) (a)²-(b)² = (a+b)(a-b)
and (a+b)² = a²+2ab+b²
(6.4+5.4)(6.4-5.4)
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(8.9+1.1)²
(11.8)(1)
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(10)²
11.8/100 = 0.118
9) x-1/x = 2
squaring on both sides
(x-1/x)² = 2²
x²+1/x²-2(x)(1/x) = 4
x²+1/x²-2 = 4
x²+1/x² = 6
again squaring on both sides
(x²+1/x²)² = 6²
x^4+1/x^4 -2(x^4)(1/x^4) = 36
x^4+1/x^4 = 38
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