How do you find the product ${(x + 3)}^{2}$ $(x+3)^2$ ?

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How do you find the product ${(x + 3)}^{2}$ $(x+3)^2$ ?

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Answer 1 · 2018-03-03T12:25:49

$x^{2} + 6 x + 9$ $x^2 + 6x + 9$

Explanation:

${(x + 3)}^{2}$ $(x+3)^2$
$= (x + 3) \times (x + 3)$ $= (x+3) xx (x+3)$
$= (x + 3) \times (x + 3)$ $= (color(red)x+color(blue)3) xx color(orange)((x+3))$
$= x \times (x + 3) + 3 \times (x + 3)$ $= color(red)x xx color(orange)((x+3)) + color(blue)3 xx color(orange)((x+3))$
$= x^{2} + 3 x + 3 x + 9$ $= x^2 + 3x + 3x + 9$
$= x^{2} + 6 x + 9$ $= x^2 + 6x + 9$

Answer 2 · 2018-03-03T13:42:04

$x^{2} + 6 x + 9$ $x^2+6x+9$

Explanation:

${(x + 3)}^{2}$ $(x+3)^2$

$(x + 3) (x + 3)$ $(x+3)(x+3)$

$a a a a a a a a a a a a a$ $color(white)(aaaaaaaaaaaaa)$ $x + 3$ $x+3$
$a a a a a a a a a a a$ $color(white)(aaaaaaaaaaa)$ $xx underline(x+3)$
$color(white)(aaaaaaaaaaaaa)$ $x^2+3x$
$color(white)(aaaaaaaaaaaaaaaa)$ $+3x+9$
$color(white)(aaaaaaaaaaaaa)$ $overline(x^2+6x+9)$

$color(white)(aaaaaaaaaaaaa)$ $color(green)(x^2+6x+9$

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How do you find the product ${(x + 3)}^{2}$ $(x+3)^2$ ?

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