How do you find the product of $(x + 2) (x - 2)$ $(x + 2)(x - 2)$ ?

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How do you find the product of $(x + 2) (x - 2)$ $(x + 2)(x - 2)$ ?

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Answer 1 · 2017-07-04T10:03:44

$x^{2} - 4$ $x^2-4$

Explanation:

$each term in the second bracket is multiplied by each term$ $"each term in the second bracket is multiplied by each term"$
$in the first bracket$ $"in the first bracket"$

$(x + 2) (x - 2)$ $(color(red)(x+2))(x-2)$

$= x (x - 2) + 2 (x - 2)$ $=color(red)(x)(x-2)color(red)(+2)(x-2)$

$= (x \times x) + (x \times - 2) + (2 \times x) + (2 \times 2)$ $=(color(red)(x)xx x)+(color(red)(x)xx-2)+(color(red)(2)xx x)+(color(red)(2)xx2)$

$= x^{2} + (- 2 x) + 2 x + 4$ $=x^2+(-2x)+2x+4$

$= x^{2} - 2 x + 2 x + 4$ $=x^2-2x+2x+4$

$= x^{2} - 4$ $=x^2-4$

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How do you find the product of $(x + 2) (x - 2)$ $(x + 2)(x - 2)$ ?

1 Answer

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