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Popular >

expand (x+2y-6z)^5

Solution

expand

(x + 2 y - 6 z)^{5}

Solution

x^{5} + 10 x^{4} y - 30 x^{4} z + 40 x^{3} y^{2} + 360 x^{3} z^{2} - 240 x^{3} yz + 80 x^{2} y^{3} - 2160 x^{2} z^{3} + 2160 x^{2} y z^{2} - 720 x^{2} y^{2} z + 80 x y^{4} + 6480 x z^{4} - 8640 x y z^{3} + 4320 x y^{2} z^{2} - 960 x y^{3} z + 32 y^{5} - 7776 z^{5} + 12960 y z^{4} - 8640 y^{2} z^{3} + 2880 y^{3} z^{2} - 480 y^{4} z

Solution steps

(x + 2 y - 6 z)^{5}

(x + 2 y - 6 z)^{5} = (x + 2 y - 6 z) (x + 2 y - 6 z) (x + 2 y - 6 z) (x + 2 y - 6 z) (x + 2 y - 6 z)

= (x + 2 y - 6 z) (x + 2 y - 6 z) (x + 2 y - 6 z) (x + 2 y - 6 z) (x + 2 y - 6 z)

Expand

(x + 2 y - 6 z) (x + 2 y - 6 z) (x + 2 y - 6 z) (x + 2 y - 6 z) (x + 2 y - 6 z) : x^{5} + 10 x^{4} y - 30 x^{4} z + 40 x^{3} y^{2} + 360 x^{3} z^{2} - 240 x^{3} yz + 80 x^{2} y^{3} - 2160 x^{2} z^{3} + 2160 x^{2} y z^{2} - 720 x^{2} y^{2} z + 80 x y^{4} + 6480 x z^{4} - 8640 x y z^{3} + 4320 x y^{2} z^{2} - 960 x y^{3} z + 32 y^{5} - 7776 z^{5} + 12960 y z^{4} - 8640 y^{2} z^{3} + 2880 y^{3} z^{2} - 480 y^{4} z

= x^{5} + 10 x^{4} y - 30 x^{4} z + 40 x^{3} y^{2} + 360 x^{3} z^{2} - 240 x^{3} yz + 80 x^{2} y^{3} - 2160 x^{2} z^{3} + 2160 x^{2} y z^{2} - 720 x^{2} y^{2} z + 80 x y^{4} + 6480 x z^{4} - 8640 x y z^{3} + 4320 x y^{2} z^{2} - 960 x y^{3} z + 32 y^{5} - 7776 z^{5} + 12960 y z^{4} - 8640 y^{2} z^{3} + 2880 y^{3} z^{2} - 480 y^{4} z

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Frequently Asked Questions (FAQ)

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