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domain of x^3

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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fatoração x³y³−64z³

Solution

(xy−4z)(x²y²+4xyz+16z²)

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x³y³−64z³

Reescrever x³y³ como (xy)³

Reescrever 64z³ como (2²z)³

=(xy)³−(2²z)³

Aplicar a regra da diferença de cubos: x³−y³=(x−y)(x²+xy+y²)

(xy)³−(2²z)³=(xy−2²z)((xy)²+2²zxy+(2²z)²)

=(xy−2²z)((2²z)²+2²zxy+(xy)²)

Simplificar (xy−2²z)((xy)²+2²zxy+(2²z)²): (xy−4z)(x²y²+4xyz+16z²)

=(xy−4z)(x²y²+4xyz+16z²)

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

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domain of x^3

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