How do you factor the trinomial $242 a^{2} - 2 b^{2}$ $242a^2 - 2b^2$ ?

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How do you factor the trinomial $242 a^{2} - 2 b^{2}$ $242a^2 - 2b^2$ ?

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Answer 1 · 2017-02-21T00:15:57

$242 a^{2} - 2 b^{2} = 2 (11 a - b) (11 a + b)$ $242a^2-2b^2 = 2(11a-b)(11a+b)$

Explanation:

The difference of squares identity can be written:

$A^{2} - B^{2} = (A - B) (A + B)$ $A^2-B^2 = (A-B)(A+B)$

Use this with $A = 11 a$ $A=11a$ and $B = b$ $B=b$ as follows:

$242 a^{2} - 2 b^{2} = 2 (121 a^{2} - b^{2})$ $242a^2-2b^2 = 2(121a^2-b^2)$

$242 a^{2} - 2 b^{2} = 2 ({(11 a)}^{2} - b^{2})$ $color(white)(242a^2-2b^2) = 2((11a)^2-b^2)$

$242 a^{2} - 2 b^{2} = 2 (11 a - b) (11 a + b)$ $color(white)(242a^2-2b^2) = 2(11a-b)(11a+b)$

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How do you factor the trinomial $242 a^{2} - 2 b^{2}$ $242a^2 - 2b^2$ ?

1 Answer

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How do you factor the trinomial $242 a^{2} - 2 b^{2}$ $242a^2 - 2b^2$ ?