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TUNA IS A FISH AND FISHESES ARE COOLERER

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Factoring other polynomials

Sum/difference of two cubes

Another formula for factoring is the sum or difference of two cubes. The sum can be represented by

$a^{3}+b^{3}=(a+b)(a^{2}-ab+b^{2}),\,\!$

Note : the second factor never becomes zero with real a and b and the difference by

$a^{3}-b^{3}=(a-b)(a^{2}+ab+b^{2}).\,\!$

For example, x³ − 10³ (or x³ − 1000) can be factored into (x − 10)(x² + 10x + 100). Note : the second factor never becomes zero with real a and b

Sum/difference of two fourth powers

THis can always be factored as follows : $a^{4}+b^{3}=(a+b)(a^{2}-ab+b^{2}),\,\!$ and the difference by

$a^{3}-b^{3}=(a-b)(a^{2}+ab+b^{2}).\,\!$

For example, x³ − 10³ (or x³ − 1000) can be factored into (x − 10)(x² + 10x + 100).