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lcm (4x-12)/(x^2+2x-15), (3x^2+12)/(x^2+3x-4)

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

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lcm 4x−12x²+2x−15 , 3x²+12x²+3x−4

Solution

(x+4)(x+5)(x−1)(x−3)

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Solution steps

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Find Least Common Multiplier of x²+2x−15, x²+3x−4

Lowest Common Multiplier (LCM)

The LCM of a, b is the smallest multiplier that is divisible by both a and b

Factor x²+2x−15: (x−3)(x+5)

Factor x²+3x−4: (x−1)(x+4)

Multiply each factor with the highest power:

(x+4)· (x+5)· (x−1)· (x−3)

Polynomial Least Common Multiplier (LCM) Examples

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

lcm (4x-12)/(x^2+2x-15), (3x^2+12)/(x^2+3x-4)

Solution

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