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Popular >

expand (x+y+z+c+d)^3

Solution

expand

(x + y + z + c + d)^{3}

Solution

x^{3} + 3 c x^{2} + 3 d x^{2} + 3 x^{2} y + 3 x^{2} z + 3 c^{2} x + 3 d^{2} x + 6 c d x + 3 x y^{2} + 6 c x y + 6 d x y + 3 x z^{2} + 6 c x z + 6 d x z + 6 x yz + c^{3} + d^{3} + 3 c d^{2} + 3 c^{2} d + y^{3} + 3 c y^{2} + 3 d y^{2} + 3 c^{2} y + 6 c d y + 3 d^{2} y + z^{3} + 3 y z^{2} + 3 c z^{2} + 3 d z^{2} + 3 c^{2} z + 6 c d z + 3 d^{2} z + 3 y^{2} z + 6 cyz + 6 d yz

Solution steps

(x + y + z + c + d)^{3}

(x + y + z + c + d)^{3} = (x + y + z + c + d) (x + y + z + c + d) (x + y + z + c + d)

= (c + d + x + y + z) (c + d + x + y + z) (c + d + x + y + z)

Expand

(x + y + z + c + d) (x + y + z + c + d) (x + y + z + c + d) : x^{3} + 3 c x^{2} + 3 d x^{2} + 3 x^{2} y + 3 x^{2} z + 3 c^{2} x + 3 d^{2} x + 6 c d x + 3 x y^{2} + 6 c x y + 6 d x y + 3 x z^{2} + 6 c x z + 6 d x z + 6 x yz + c^{3} + d^{3} + 3 c d^{2} + 3 c^{2} d + y^{3} + 3 c y^{2} + 3 d y^{2} + 3 c^{2} y + 6 c d y + 3 d^{2} y + z^{3} + 3 y z^{2} + 3 c z^{2} + 3 d z^{2} + 3 c^{2} z + 6 c d z + 3 d^{2} z + 3 y^{2} z + 6 cyz + 6 d yz

= x^{3} + 3 c x^{2} + 3 d x^{2} + 3 x^{2} y + 3 x^{2} z + 3 c^{2} x + 3 d^{2} x + 6 c d x + 3 x y^{2} + 6 c x y + 6 d x y + 3 x z^{2} + 6 c x z + 6 d x z + 6 x yz + c^{3} + d^{3} + 3 c d^{2} + 3 c^{2} d + y^{3} + 3 c y^{2} + 3 d y^{2} + 3 c^{2} y + 6 c d y + 3 d^{2} y + z^{3} + 3 y z^{2} + 3 c z^{2} + 3 d z^{2} + 3 c^{2} z + 6 c d z + 3 d^{2} z + 3 y^{2} z + 6 cyz + 6 d yz

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Frequently Asked Questions (FAQ)

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