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Popular >

expand (x^3+x^4+x^5)^8

Solution

expand

(x^{3} + x^{4} + x^{5})^{8}

Solution

x^{40} + 8 x^{39} + 36 x^{38} + 112 x^{37} + 266 x^{36} + 504 x^{35} + 784 x^{34} + 1016 x^{33} + 1107 x^{32} + 1016 x^{31} + 784 x^{30} + 504 x^{29} + 266 x^{28} + 112 x^{27} + 36 x^{26} + 8 x^{25} + x^{24}

Solution steps

(x^{3} + x^{4} + x^{5})^{8}

(x^{3} + x^{4} + x^{5})^{8} = (x^{3} + x^{4} + x^{5}) (x^{3} + x^{4} + x^{5}) (x^{3} + x^{4} + x^{5}) (x^{3} + x^{4} + x^{5}) (x^{3} + x^{4} + x^{5}) (x^{3} + x^{4} + x^{5}) (x^{3} + x^{4} + x^{5}) (x^{3} + x^{4} + x^{5})

= (x^{5} + x^{4} + x^{3}) (x^{5} + x^{4} + x^{3}) (x^{5} + x^{4} + x^{3}) (x^{5} + x^{4} + x^{3}) (x^{5} + x^{4} + x^{3}) (x^{5} + x^{4} + x^{3}) (x^{5} + x^{4} + x^{3}) (x^{5} + x^{4} + x^{3})

Expand

(x^{3} + x^{4} + x^{5}) (x^{3} + x^{4} + x^{5}) (x^{3} + x^{4} + x^{5}) (x^{3} + x^{4} + x^{5}) (x^{3} + x^{4} + x^{5}) (x^{3} + x^{4} + x^{5}) (x^{3} + x^{4} + x^{5}) (x^{3} + x^{4} + x^{5}) : x^{40} + 8 x^{39} + 36 x^{38} + 112 x^{37} + 266 x^{36} + 504 x^{35} + 784 x^{34} + 1016 x^{33} + 1107 x^{32} + 1016 x^{31} + 784 x^{30} + 504 x^{29} + 266 x^{28} + 112 x^{27} + 36 x^{26} + 8 x^{25} + x^{24}

= x^{40} + 8 x^{39} + 36 x^{38} + 112 x^{37} + 266 x^{36} + 504 x^{35} + 784 x^{34} + 1016 x^{33} + 1107 x^{32} + 1016 x^{31} + 784 x^{30} + 504 x^{29} + 266 x^{28} + 112 x^{27} + 36 x^{26} + 8 x^{25} + x^{24}

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Frequently Asked Questions (FAQ)

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