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Popular >

expand (x+2y+3z)^5

Solution

expand

(x + 2 \cdot y + 3 \cdot z)^{5}

Solution

x^{5} + 10 x^{4} y + 15 x^{4} z + 40 x^{3} y^{2} + 90 x^{3} z^{2} + 120 x^{3} yz + 80 x^{2} y^{3} + 270 x^{2} z^{3} + 540 x^{2} y z^{2} + 360 x^{2} y^{2} z + 80 x y^{4} + 405 x z^{4} + 1080 x y z^{3} + 1080 x y^{2} z^{2} + 480 x y^{3} z + 32 y^{5} + 243 z^{5} + 810 y z^{4} + 1080 y^{2} z^{3} + 720 y^{3} z^{2} + 240 y^{4} z

Solution steps

(x + 2 y + 3 z)^{5}

(x + 2 y + 3 z)^{5} = (x + 2 y + 3 z) (x + 2 y + 3 z) (x + 2 y + 3 z) (x + 2 y + 3 z) (x + 2 y + 3 z)

= (x + 2 y + 3 z) (x + 2 y + 3 z) (x + 2 y + 3 z) (x + 2 y + 3 z) (x + 2 y + 3 z)

Expand

(x + 2 y + 3 z) (x + 2 y + 3 z) (x + 2 y + 3 z) (x + 2 y + 3 z) (x + 2 y + 3 z) : x^{5} + 10 x^{4} y + 15 x^{4} z + 40 x^{3} y^{2} + 90 x^{3} z^{2} + 120 x^{3} yz + 80 x^{2} y^{3} + 270 x^{2} z^{3} + 540 x^{2} y z^{2} + 360 x^{2} y^{2} z + 80 x y^{4} + 405 x z^{4} + 1080 x y z^{3} + 1080 x y^{2} z^{2} + 480 x y^{3} z + 32 y^{5} + 243 z^{5} + 810 y z^{4} + 1080 y^{2} z^{3} + 720 y^{3} z^{2} + 240 y^{4} z

= x^{5} + 10 x^{4} y + 15 x^{4} z + 40 x^{3} y^{2} + 90 x^{3} z^{2} + 120 x^{3} yz + 80 x^{2} y^{3} + 270 x^{2} z^{3} + 540 x^{2} y z^{2} + 360 x^{2} y^{2} z + 80 x y^{4} + 405 x z^{4} + 1080 x y z^{3} + 1080 x y^{2} z^{2} + 480 x y^{3} z + 32 y^{5} + 243 z^{5} + 810 y z^{4} + 1080 y^{2} z^{3} + 720 y^{3} z^{2} + 240 y^{4} z

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Frequently Asked Questions (FAQ)

What is expand (x+2*y+3*z)^5 ?
The solution to expand (x+2*y+3*z)^5 is