How do you expand ${(2 x^{3} + 1)}^{5}$ $(2x^3+1)^5$ ?

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How do you expand ${(2 x^{3} + 1)}^{5}$ $(2x^3+1)^5$ ?

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Answer 1 · 2018-06-20T18:24:11

$1 + 10 x^{3} + 40 x^{6} + 80 x^{9} + 80 x^{12} + 32 x^{15}$ $1+10x^3+40x^6+80x^9+80x^12+32x^15$

Explanation:

Use the formula
${(a + b)}^{5} = a^{5} + 5 a^{4} b + 10 a^{3} b^{2} + 10 a^{2} b^{3} + 5 a b^{4} + b^{5}$ $(a+b)^5=a^5+5a^4b+10a^3b^2+10a^2b^3+5ab^4+b^5$

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How do you expand ${(2 x^{3} + 1)}^{5}$ $(2x^3+1)^5$ ?

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