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MatroZZZ [7]
3 years ago
7

Divide and simplify as much as possible: -20v^7 x^7 + 12v^4 x^7 / 4v^5 x^4

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
5 0

\dfrac{-20v^7x^7+12v^4x^7}{4v^5x^4}=\dfrac{-20v^7x^7}{4v^5x^4}+\dfrac{12v^4x^7}{4v^5x^4}=-5v^{7-5}x^{7-4}+3v^{4-5}x^{7-4}\\\\=\boxed{3v^{-1}x^3-5v^2x^3}

Used

\dfrac{a^n}{a^m}=a^{n-m}

Other method:

\dfrac{-20v^7x^7+12v^4x^7}{4v^5x^4}=\dfrac{4v^4x^4(-5v^3x^3+3x^3)}{4v^4x^4(v)}=\dfrac{3x^3-5v^3x^3}{v}


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