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cancel (2x^2-x)/(x^2+x)*(5x+5)/(6x-3)

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simplify 2x²−xx²+x · 5x+56x−3

Solution

Decimal

1.66666…

Mixed Number

123

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Solution steps

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2x²−xx²+x · 5x+56x−3

Cancel 2x²−xx²+x : 2x−1x+1

=2x−1x+1 · 5x+56x−3

Apply the fraction rule: ab · cd =a · cb · d

=(2x−1)(5x+5)(x+1)(6x−3)

Factor 5x+5: 5(x+1)

=(2x−1)· 5(x+1)(x+1)(6x−3)

Cancel the common factor: x+1

=(2x−1)· 56x−3

Factor 6x−3: 3(2x−1)

=(2x−1)· 53(2x−1)

Cancel the common factor: 2x−1

=53

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

cancel (2x^2-x)/(x^2+x)*(5x+5)/(6x-3)

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