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Popular >

desarrollar (x-0.3)(x-1.3)(x-4)(x-6)(x-8)(x-10)(x-12)(x-14)(x-16)(x-18)(x-20)

Solución

desarrollar

(x - 0.3) (x - 1.3) (x - 4) (x - 6) (x - 8) (x - 10) (x - 12) (x - 14) (x - 16) (x - 18) (x - 20)

Solución

x^{11} - 109.6 x^{10} + 5237.19 x^{9} - 143216.52 x^{8} + 2472314.16 x^{7} - 28016748.48 x^{6} + 209819742.56 x^{5} - 1017927793.28 x^{4} + 3036612042.24 x^{3} - 5012306565.12 x^{2} + 3671576985.6 x - 724598784

Pasos de solución

(x - 0.3) (x - 1.3) (x - 4) (x - 6) (x - 8) (x - 10) (x - 12) (x - 14) (x - 16) (x - 18) (x - 20)

Expandir

(x - 0.3) (x - 1.3) : x^{2} - 1.6 x + 0.39

= (x^{2} - 1.6 x + 0.39) (x - 4) (x - 6) (x - 8) (x - 10) (x - 12) (x - 14) (x - 16) (x - 18) (x - 20)

Expandir

(x^{2} - 1.6 x + 0.39) (x - 4) : x^{3} - 5.6 x^{2} + 6.79 x - 1.56

= (x^{3} - 5.6 x^{2} + 6.79 x - 1.56) (x - 6) (x - 8) (x - 10) (x - 12) (x - 14) (x - 16) (x - 18) (x - 20)

Expandir

(x^{3} - 5.6 x^{2} + 6.79 x - 1.56) (x - 6) : x^{4} - 11.6 x^{3} + 40.39 x^{2} - 42.3 x + 9.36

= (x^{4} - 11.6 x^{3} + 40.39 x^{2} - 42.3 x + 9.36) (x - 8) (x - 10) (x - 12) (x - 14) (x - 16) (x - 18) (x - 20)

Expandir

(x^{4} - 11.6 x^{3} + 40.39 x^{2} - 42.3 x + 9.36) (x - 8) : x^{5} - 19.6 x^{4} + 133.19 x^{3} - 365.42 x^{2} + 347.76 x - 74.88

= (x^{5} - 19.6 x^{4} + 133.19 x^{3} - 365.42 x^{2} + 347.76 x - 74.88) (x - 10) (x - 12) (x - 14) (x - 16) (x - 18) (x - 20)

Expandir

(x^{5} - 19.6 x^{4} + 133.19 x^{3} - 365.42 x^{2} + 347.76 x - 74.88) (x - 10) : x^{6} - 29.6 x^{5} + 329.19 x^{4} - 1697.32 x^{3} + 4001.96 x^{2} - 3552.48 x + 748.8

= (x^{6} - 29.6 x^{5} + 329.19 x^{4} - 1697.32 x^{3} + 4001.96 x^{2} - 3552.48 x + 748.8) (x - 12) (x - 14) (x - 16) (x - 18) (x - 20)

Expandir

(x^{6} - 29.6 x^{5} + 329.19 x^{4} - 1697.32 x^{3} + 4001.96 x^{2} - 3552.48 x + 748.8) (x - 12) : x^{7} - 41.6 x^{6} + 684.39 x^{5} - 5647.6 x^{4} + 24369.8 x^{3} - 51576 x^{2} + 43378.56 x - 8985.6

= (x^{7} - 41.6 x^{6} + 684.39 x^{5} - 5647.6 x^{4} + 24369.8 x^{3} - 51576 x^{2} + 43378.56 x - 8985.6) (x - 14) (x - 16) (x - 18) (x - 20)

Expandir

(x^{7} - 41.6 x^{6} + 684.39 x^{5} - 5647.6 x^{4} + 24369.8 x^{3} - 51576 x^{2} + 43378.56 x - 8985.6) (x - 14) : x^{8} - 55.6 x^{7} + 1266.79 x^{6} - 15229.06 x^{5} + 103436.2 x^{4} - 392753.2 x^{3} + 765442.56 x^{2} - 616285.44 x + 125798.4

= (x^{8} - 55.6 x^{7} + 1266.79 x^{6} - 15229.06 x^{5} + 103436.2 x^{4} - 392753.2 x^{3} + 765442.56 x^{2} - 616285.44 x + 125798.4) (x - 16) (x - 18) (x - 20)

Expandir

(x^{8} - 55.6 x^{7} + 1266.79 x^{6} - 15229.06 x^{5} + 103436.2 x^{4} - 392753.2 x^{3} + 765442.56 x^{2} - 616285.44 x + 125798.4) (x - 16) : x^{9} - 71.6 x^{8} + 2156.39 x^{7} - 35497.7 x^{6} + 347101.16 x^{5} - 2047732.4 x^{4} + 7049493.76 x^{3} - 12863366.4 x^{2} + 9986365.44 x - 2012774.4

= (x^{9} - 71.6 x^{8} + 2156.39 x^{7} - 35497.7 x^{6} + 347101.16 x^{5} - 2047732.4 x^{4} + 7049493.76 x^{3} - 12863366.4 x^{2} + 9986365.44 x - 2012774.4) (x - 18) (x - 20)

Expandir

(x^{9} - 71.6 x^{8} + 2156.39 x^{7} - 35497.7 x^{6} + 347101.16 x^{5} - 2047732.4 x^{4} + 7049493.76 x^{3} - 12863366.4 x^{2} + 9986365.44 x - 2012774.4) (x - 18) : x^{10} - 89.6 x^{9} + 3445.19 x^{8} - 74312.72 x^{7} + 986059.76 x^{6} - 8295553.28 x^{5} + 43908676.96 x^{4} - 139754254.08 x^{3} + 241526960.64 x^{2} - 181767352.32 x + 36229939.2

= (x^{10} - 89.6 x^{9} + 3445.19 x^{8} - 74312.72 x^{7} + 986059.76 x^{6} - 8295553.28 x^{5} + 43908676.96 x^{4} - 139754254.08 x^{3} + 241526960.64 x^{2} - 181767352.32 x + 36229939.2) (x - 20)

Expandir

(x^{10} - 89.6 x^{9} + 3445.19 x^{8} - 74312.72 x^{7} + 986059.76 x^{6} - 8295553.28 x^{5} + 43908676.96 x^{4} - 139754254.08 x^{3} + 241526960.64 x^{2} - 181767352.32 x + 36229939.2) (x - 20) : x^{11} - 109.6 x^{10} + 5237.19 x^{9} - 143216.52 x^{8} + 2472314.16 x^{7} - 28016748.48 x^{6} + 209819742.56 x^{5} - 1017927793.28 x^{4} + 3036612042.24 x^{3} - 5012306565.12 x^{2} + 3671576985.6 x - 724598784

= x^{11} - 109.6 x^{10} + 5237.19 x^{9} - 143216.52 x^{8} + 2472314.16 x^{7} - 28016748.48 x^{6} + 209819742.56 x^{5} - 1017927793.28 x^{4} + 3036612042.24 x^{3} - 5012306565.12 x^{2} + 3671576985.6 x - 724598784

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