tính
a) \(199.\left(15-17\right)-199.\left(-17+5\right)\)
b) \(-39.\left(5-99\right)+99.\left(10-39\right)\)
c) \(79.89-79.\left(-11\right)\)
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a) \(-39.\left(5-99\right)+99.\left(10-39\right)\)
\(=-39.5+39.99+99.10-99.39\)
\(=\left(39.99-99.39\right)-39.5+99.10\)
\(=0-195+990\)
\(=-195+990\)
\(=795\)
a/ A = 1002 - 992 + 982 -...+22 - 12
= (1002 - 992) + (982 - 972) +...+ (22 - 12)
= 199 + 195 + 191 + ... + 1
= (\(\frac{199-1}{4}+1\))(\(\frac{199+1}{2}\)) = 5050
b/ Y chang câu a luôn nha
c/ \(C=\frac{780^2-220^2}{125^2+150.125+75^2}=\frac{\left(780-220\right)\left(780+220\right)}{\left(125+75\right)^2}\)
\(=\frac{560.1000}{200^2}=14\)
\(\left(\frac{1}{17}-1\right)\left(\frac{2}{17}-1\right)\left(\frac{3}{17}-1\right)....\left(\frac{99}{17}-1\right)\)
= \(\left(\frac{1}{17}-\frac{17}{17}\right)\left(\frac{2}{17}-\frac{17}{17}\right)\left(\frac{3}{17}-\frac{17}{17}\right).......\left(\frac{99}{17}-\frac{17}{17}\right)\)
= \(\left(\frac{-16}{17}\right)\left(\frac{-15}{17}\right)\left(\frac{-14}{17}\right).......\left(\frac{82}{17}\right)\)
= \(\frac{\left(-16\right).\left(-15\right).\left(-14\right)......82}{17}\)
a) 199.(15-17)-199.(-17+5)
=199.(-2)-199.(-12)
=199.[(-2)-(-12)]
=199.(-14)
=-2786