What is (-36x^4y+144x^2y^6)/(-4x^2y) ?

The solution to (-36x^4y+144x^2y^6)/(-4x^2y) is 9x^2-36y^5

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simplify (-36x^4y+144x^2y^6)/(-4x^2y)

simplify

\frac{- 36 x ^{4} y + 144 x ^{2} y ^{6}}{- 4 x ^{2} y}

9 x^{2} - 36 y^{5}

Solution steps

\frac{- 36 x ^{4} y + 144 x ^{2} y ^{6}}{- 4 x ^{2} y}

Factor

- 36 x^{4} y + 144 x^{2} y^{6} : 36 x^{2} y (- x^{2} + 4 y^{5})

= \frac{36 x ^{2} y ( - x ^{2} + 4 y ^{5} )}{- 4 x ^{2} y}

Cancel the common factor:

x^{2}

= \frac{36 y ( - x ^{2} + 4 y ^{5} )}{- 4 y}

Cancel the common factor:

y

= \frac{36 ( - x ^{2} + 4 y ^{5} )}{- 4}

Divide the numbers:

\frac{36}{- 4} = - 9

= - 9 (- x^{2} + 4 y^{5})

Expand

- 9 (- x^{2} + 4 y^{5}) : 9 x^{2} - 36 y^{5}

= 9 x^{2} - 36 y^{5}

x^{2} + 11 x - 12 = 0

∣ x + 6 ∣ = 3

3 x^{2} - 16 x - 3 = - 9 x + 3

\frac{( 2 x ^{4} y ^{0} ) ^{2}}{x ^{6}}

x^{2} + 6 x - 12 = 0

What is (-36x^4y+144x^2y^6)/(-4x^2y) ?
The solution to (-36x^4y+144x^2y^6)/(-4x^2y) is 9x^2-36y^5