How do you factor $a^{2} - 100$ $a^2-100$ ?

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How do you factor $a^{2} - 100$ $a^2-100$ ?

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Answer 1 · 2018-03-24T12:07:47

$(a + 10) (a - 10)$ $(a+10)(a-10)$

Explanation:

this is done by difference of squares

$a^{2} - b^{2} = (a + b) (a - b)$ $a^2-b^2=(a+b)(a-b)$

$a^{2} - 100 = a^{2} - 10^{2}$ $a^2-100=a^2-10^2$

$= (a + 10) (a - 10)$ $=(a+10)(a-10)$

Answer 2 · 2018-03-24T14:46:43

$(a - 10) (a + 10)$ $(a-10)(a+10)$

Explanation:

$a^{2} - 100 is a difference of squares$ $a^2-100" is a "color(blue)"difference of squares"$

$∙ x a^{2} - b^{2} = (a - b) (a + b) \leftarrow factored form$ $•color(white)(x)a^2-b^2=(a-b)(a+b)larrcolor(blue)"factored form"$

$here a = a and b = 10$ $"here "a=a" and "b=10$

$\Rightarrow a^{2} - 100 = (a - 10) (a + 10)$ $rArra^2-100=(a-10)(a+10)$

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How do you factor $a^{2} - 100$ $a^2-100$ ?

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