(-0.05115303983-( -0.0951743988)) ^2+ (-0.1391957578- ( -0.0951743988)) ^2

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on Nov 25, 2024 at 6:02 pm



You asked:

Evaluate the expression: (−0.05115303983−−0.0951743988)2+(−0.1391957578−−0.0951743988)2{\left( -0.05115303983 - -0.0951743988 \right)}^{2} + {\left( -0.1391957578 - -0.0951743988 \right)}^{2}

MathBot Answer:

(−0.05115303983−−0.0951743988)2+(−0.1391957578−−0.0951743988)2=3875760093772480460910000000000000000000000=0.0038757600937724804609{\left( -0.05115303983 - -0.0951743988 \right)}^{2} + {\left( -0.1391957578 - -0.0951743988 \right)}^{2} = \frac{38757600937724804609}{10000000000000000000000} = 0.0038757600937724804609

(−0.05115303983−−0.0951743988)2+(−0.1391957578−−0.0951743988)2=(−(5115303983100000000000)−−0.0951743988)2+(−0.1391957578−−0.0951743988)2=(−5115303983100000000000−−0.0951743988)2+(−0.1391957578−−0.0951743988)2=(−5115303983100000000000−−(2379359972500000000))2+(−0.1391957578−−0.0951743988)2=(−5115303983100000000000−−2379359972500000000)2+(−0.1391957578−−0.0951743988)2=(4402135897100000000000)2+(−0.1391957578−−0.0951743988)2=1937880045565599460910000000000000000000000+(−0.1391957578−−0.0951743988)2=1937880045565599460910000000000000000000000+(−(6959787895000000000)−−0.0951743988)2=1937880045565599460910000000000000000000000+(−6959787895000000000−−0.0951743988)2=1937880045565599460910000000000000000000000+(−6959787895000000000−−(2379359972500000000))2=1937880045565599460910000000000000000000000+(−6959787895000000000−−2379359972500000000)2=1937880045565599460910000000000000000000000+(−440213591000000000)2=1937880045565599460910000000000000000000000+19378800482068811000000000000000000=3875760093772480460910000000000000000000000\begin{aligned}{\left( -0.05115303983 - -0.0951743988 \right)}^{2} + {\left( -0.1391957578 - -0.0951743988 \right)}^{2}&={\left( -\left( \frac{5115303983}{100000000000} \right) - -0.0951743988 \right)}^{2} + {\left( -0.1391957578 - -0.0951743988 \right)}^{2}\\&={\left( \frac{-5115303983}{100000000000} - -0.0951743988 \right)}^{2} + {\left( -0.1391957578 - -0.0951743988 \right)}^{2}\\&={\left( \frac{-5115303983}{100000000000} - -\left( \frac{237935997}{2500000000} \right) \right)}^{2} + {\left( -0.1391957578 - -0.0951743988 \right)}^{2}\\&={\left( \frac{-5115303983}{100000000000} - \frac{-237935997}{2500000000} \right)}^{2} + {\left( -0.1391957578 - -0.0951743988 \right)}^{2}\\&={\left( \frac{4402135897}{100000000000} \right)}^{2} + {\left( -0.1391957578 - -0.0951743988 \right)}^{2}\\&=\frac{19378800455655994609}{10000000000000000000000} + {\left( -0.1391957578 - -0.0951743988 \right)}^{2}\\&=\frac{19378800455655994609}{10000000000000000000000} + {\left( -\left( \frac{695978789}{5000000000} \right) - -0.0951743988 \right)}^{2}\\&=\frac{19378800455655994609}{10000000000000000000000} + {\left( \frac{-695978789}{5000000000} - -0.0951743988 \right)}^{2}\\&=\frac{19378800455655994609}{10000000000000000000000} + {\left( \frac{-695978789}{5000000000} - -\left( \frac{237935997}{2500000000} \right) \right)}^{2}\\&=\frac{19378800455655994609}{10000000000000000000000} + {\left( \frac{-695978789}{5000000000} - \frac{-237935997}{2500000000} \right)}^{2}\\&=\frac{19378800455655994609}{10000000000000000000000} + {\left( \frac{-44021359}{1000000000} \right)}^{2}\\&=\frac{19378800455655994609}{10000000000000000000000} + \frac{1937880048206881}{1000000000000000000}\\&=\frac{38757600937724804609}{10000000000000000000000}\end{aligned}

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