=(-0.03x^6+0.12x^5-0.37x^4+0.79x^3-1.08x^2+0.83x+1.73)(-0.03x^6+0.12x^5-0.37x^4+0.79x^3-1.08x^2+0.83x+1.73)

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on Nov 22, 2024 at 10:53 am



You asked:

Evaluate the expression: (−(0.03x6)+0.12x5−0.37x4+0.79x3−1.08x2+0.83x+1.73)(−(0.03x6)+0.12x5−0.37x4+0.79x3−1.08x2+0.83x+1.73)\left(-\left( 0.03 {x}^{6} \right) + 0.12 {x}^{5} - 0.37 {x}^{4} + 0.79 {x}^{3} - 1.08 {x}^{2} + 0.83 x + 1.73\right) \left(-\left( 0.03 {x}^{6} \right) + 0.12 {x}^{5} - 0.37 {x}^{4} + 0.79 {x}^{3} - 1.08 {x}^{2} + 0.83 x + 1.73\right)

MathBot Answer:

Evaluated



(−(0.03x6)+0.12x5−0.37x4+0.79x3−1.08x2+0.83x+1.73)(−(0.03x6)+0.12x5−0.37x4+0.79x3−1.08x2+0.83x+1.73)=(−3x6100+3x525−37x4100+79x3100−27x225+83x100+173100)2\displaystyle \left(-\left( 0.03 {x}^{6} \right) + 0.12 {x}^{5} - 0.37 {x}^{4} + 0.79 {x}^{3} - 1.08 {x}^{2} + 0.83 x + 1.73\right) \left(-\left( 0.03 {x}^{6} \right) + 0.12 {x}^{5} - 0.37 {x}^{4} + 0.79 {x}^{3} - 1.08 {x}^{2} + 0.83 x + 1.73\right) = \left(- \frac{3 x^{6}}{100} + \frac{3 x^{5}}{25} - \frac{37 x^{4}}{100} + \frac{79 x^{3}}{100} - \frac{27 x^{2}}{25} + \frac{83 x}{100} + \frac{173}{100}\right)^{2}

Expanded

(−(0.03x6)+0.12x5−0.37x4+0.79x3−1.08x2+0.83x+1.73)(−(0.03x6)+0.12x5−0.37x4+0.79x3−1.08x2+0.83x+1.73)=9x1210000−9x111250+183x105000−681x95000+3913x810000−1117x71250+15187x610000−9527x55000+1497x41250+4703x35000−30479x210000+14359x5000+2992910000\left(-\left( 0.03 {x}^{6} \right) + 0.12 {x}^{5} - 0.37 {x}^{4} + 0.79 {x}^{3} - 1.08 {x}^{2} + 0.83 x + 1.73\right) \left(-\left( 0.03 {x}^{6} \right) + 0.12 {x}^{5} - 0.37 {x}^{4} + 0.79 {x}^{3} - 1.08 {x}^{2} + 0.83 x + 1.73\right) = \frac{9 x^{12}}{10000} - \frac{9 x^{11}}{1250} + \frac{183 x^{10}}{5000} - \frac{681 x^{9}}{5000} + \frac{3913 x^{8}}{10000} - \frac{1117 x^{7}}{1250} + \frac{15187 x^{6}}{10000} - \frac{9527 x^{5}}{5000} + \frac{1497 x^{4}}{1250} + \frac{4703 x^{3}}{5000} - \frac{30479 x^{2}}{10000} + \frac{14359 x}{5000} + \frac{29929}{10000}

Factored

(−(0.03x6)+0.12x5−0.37x4+0.79x3−1.08x2+0.83x+1.73)(−(0.03x6)+0.12x5−0.37x4+0.79x3−1.08x2+0.83x+1.73)=(3x6−12x5+37x4−79x3+108x2−83x−173)210000\left(-\left( 0.03 {x}^{6} \right) + 0.12 {x}^{5} - 0.37 {x}^{4} + 0.79 {x}^{3} - 1.08 {x}^{2} + 0.83 x + 1.73\right) \left(-\left( 0.03 {x}^{6} \right) + 0.12 {x}^{5} - 0.37 {x}^{4} + 0.79 {x}^{3} - 1.08 {x}^{2} + 0.83 x + 1.73\right) = \frac{\left(3 x^{6} - 12 x^{5} + 37 x^{4} - 79 x^{3} + 108 x^{2} - 83 x - 173\right)^{2}}{10000}

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