Divide ((35x^2-25x)+45)/(5x^(2/3))

Math
(35×2-25x)+455×23
Factor 5 out of 35×2.
5(7×2)-25x+455×23
Factor 5 out of -25x.
5(7×2)+5(-5x)+455×23
Factor 5 out of 5(7×2)+5(-5x).
5(7×2-5x)+455×23
Factor 5 out of 45.
5(7×2-5x)+5⋅95×23
Factor 5 out of 5(7×2-5x)+5(9).
5(7×2-5x+9)5×23
Cancel the common factors.
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Factor 5 out of 5×23.
5(7×2-5x+9)5(x23)
Cancel the common factor.
5(7×2-5x+9)5×23
Rewrite the expression.
7×2-5x+9×23
7×2-5x+9×23
Split the fraction 7×2-5x+9×23 into two fractions.
7×2-5xx23+9×23
Split the fraction 7×2-5xx23 into two fractions.
7x2x23+-5xx23+9×23
Move x23 to the numerator using the negative exponent rule 1bn=b-n.
7x2x-23+-5xx23+9×23
Multiply x2 by x-23 by adding the exponents.
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Move x-23.
7(x-23×2)+-5xx23+9×23
Use the power rule aman=am+n to combine exponents.
7x-23+2+-5xx23+9×23
To write 2 as a fraction with a common denominator, multiply by 33.
7x-23+2⋅33+-5xx23+9×23
Combine 2 and 33.
7x-23+2⋅33+-5xx23+9×23
Combine the numerators over the common denominator.
7x-2+2⋅33+-5xx23+9×23
Simplify the numerator.
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Multiply 2 by 3.
7x-2+63+-5xx23+9×23
Add -2 and 6.
7×43+-5xx23+9×23
7×43+-5xx23+9×23
7×43+-5xx23+9×23
Move x23 to the numerator using the negative exponent rule 1bn=b-n.
7×43-5x⋅x-23+9×23
Multiply x by x-23 by adding the exponents.
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Move x-23.
7×43-5(x-23x)+9×23
Multiply x-23 by x.
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Raise x to the power of 1.
7×43-5(x-23×1)+9×23
Use the power rule aman=am+n to combine exponents.
7×43-5x-23+1+9×23
7×43-5x-23+1+9×23
Write 1 as a fraction with a common denominator.
7×43-5x-23+33+9×23
Combine the numerators over the common denominator.
7×43-5x-2+33+9×23
Add -2 and 3.
7×43-5×13+9×23
7×43-5×13+9×23
Divide ((35x^2-25x)+45)/(5x^(2/3))

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