How do you multiply ${(x + 3)}^{3}$ $(x+3)^3$ ?

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How do you multiply ${(x + 3)}^{3}$ $(x+3)^3$ ?

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Answer 1 · 2018-04-04T13:56:39

$x^{3} + 9 x^{2} + 27 x + 27$ $color(green)(x^3+9x^2+27x+27$

Explanation:

${(x + 3)}^{3}$ $(x+3)^3$
$a a a a a a a a a a a a a$ $color(white)(aaaaaaaaaaaaa)$ $x + 3$ $x+3$
$a a a a a a a a a a a$ $color(white)(aaaaaaaaaaa)$ $xx underline(x+3)$
$color(white)(aaaaaaaaaaaaa)$ $x^2+3x$
$color(white)(aaaaaaaaaaaaaaaaaa)$ $3x+9$
$color(white)(aaaaaaaaaaaaa)$ $overline(x^2+6x+9)$
$color(white)(aaaaaaaaaaa)$ $xx x+3$
$color(white)(aaaaaaaaaaaaa)$ $overline(x^3+6x^2+9x)$
$color(white)(aaaaaaaaaaaaaaaaa)$ $3x^2+18x+27$
$color(white)(aaaaaaaaaaaaa)$ $overline(x^3+9x^2+27x+27)$

$color(white)(aaaaaaaaaaaaa)$ $color(green)(x^3+9x^2+27x+27$

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How do you multiply ${(x + 3)}^{3}$ $(x+3)^3$ ?

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