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Polynomial Greatest Common Divisor (GCD) Calculator

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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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expandir (x²+2x−1)· (2x²−3x+6)

Solution

2x⁴+x³−2x²+15x−6

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Solution steps

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(x²+2x−1)(2x²−3x+6)

Aplicar a seguinte regra dos produtos notáveis

=x²· 2x²+x²(−3x)+x²· 6+2x· 2x²+2x(−3x)+2x· 6−1· 2x²−1· (−3x)−1· 6

Simplificar x²· 2x²+x²(−3x)+x²· 6+2x· 2x²+2x(−3x)+2x· 6−1· 2x²−1· (−3x)−1· 6: 2x⁴+x³−2x²+15x−6

=2x⁴+x³−2x²+15x−6

Solve instead

f(x)=(x²+2x−1)· (2x²−3x+6)

ddx ((x²+2x−1)· (2x²−3x+6))

Polynomial Greatest Common Divisor (GCD) Examples

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

1	2	1
6	−1	0
−1	−2	−1

Polynomial Greatest Common Divisor (GCD) Calculator

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