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Popular >

expand (2x+2h+1)^5

Solution

expand

(2 x + 2 h + 1)^{5}

Solution

32 x^{5} + 160 x^{4} h + 80 x^{4} + 320 x^{3} h^{2} + 320 x^{3} h + 80 x^{3} + 320 x^{2} h^{3} + 480 x^{2} h^{2} + 240 x^{2} h + 40 x^{2} + 160 x h^{4} + 320 x h^{3} + 240 x h^{2} + 80 x h + 10 x + 32 h^{5} + 80 h^{4} + 80 h^{3} + 40 h^{2} + 10 h + 1

Solution steps

(2 x + 2 h + 1)^{5}

(2 x + 2 h + 1)^{5} = (2 x + 2 h + 1) (2 x + 2 h + 1) (2 x + 2 h + 1) (2 x + 2 h + 1) (2 x + 2 h + 1)

= (2 x + 2 h + 1) (2 x + 2 h + 1) (2 x + 2 h + 1) (2 x + 2 h + 1) (2 x + 2 h + 1)

Expand

(2 x + 2 h + 1) (2 x + 2 h + 1) (2 x + 2 h + 1) (2 x + 2 h + 1) (2 x + 2 h + 1) : 32 x^{5} + 160 x^{4} h + 80 x^{4} + 320 x^{3} h^{2} + 320 x^{3} h + 80 x^{3} + 320 x^{2} h^{3} + 480 x^{2} h^{2} + 240 x^{2} h + 40 x^{2} + 160 x h^{4} + 320 x h^{3} + 240 x h^{2} + 80 x h + 10 x + 32 h^{5} + 80 h^{4} + 80 h^{3} + 40 h^{2} + 10 h + 1

= 32 x^{5} + 160 x^{4} h + 80 x^{4} + 320 x^{3} h^{2} + 320 x^{3} h + 80 x^{3} + 320 x^{2} h^{3} + 480 x^{2} h^{2} + 240 x^{2} h + 40 x^{2} + 160 x h^{4} + 320 x h^{3} + 240 x h^{2} + 80 x h + 10 x + 32 h^{5} + 80 h^{4} + 80 h^{3} + 40 h^{2} + 10 h + 1

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Frequently Asked Questions (FAQ)

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