Help to solve: (x+h)^{3}=x^{3}+3x^{2}h+3xh^{2}+h^{3}

Redemitz4s 2021-11-22 Answered
Help to solve: \(\displaystyle{\left({x}+{h}\right)}^{{{3}}}={x}^{{{3}}}+{3}{x}^{{{2}}}{h}+{3}{x}{h}^{{{2}}}+{h}^{{{3}}}\)

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Expert Answer

navratitehf
Answered 2021-11-23 Author has 297 answers

\((x+h)^{3}=(x+h)(x+h)^{3}=(x+h)(x^{2}+2hx+h^{2})=x^{3}+2hx^{2}+h^{2}x+hx^{2} +2h^{2}x+h^{3}=x^{3}+3hx^{2}+3h^{2}x+h^{3}\)

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Nicole Keller
Answered 2021-11-24 Author has 48 answers

Use this formula:
\((a+b)^{3}=(a+b)(a+b)^{3}=(a+b)(a^{2}+2ab+b^{2})=a^{3}+2ab^{2}+a^{2}b+ab^{2} +2a^{2}b+b^{3}=a^{3}+3ab^{2}+3a^{2}b+a^{3}\)

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