What is (12x^4-16x^3y^2)/(-4x^3) ?

The solution to (12x^4-16x^3y^2)/(-4x^3) is -3x+4y^2

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simplify (12x^4-16x^3y^2)/(-4x^3)

simplify

\frac{12 x ^{4} - 16 x ^{3} y ^{2}}{- 4 x ^{3}}

- 3 x + 4 y^{2}

Solution steps

\frac{12 x ^{4} - 16 x ^{3} y ^{2}}{- 4 x ^{3}}

Factor

12 x^{4} - 16 x^{3} y^{2} : 4 x^{3} (3 x - 4 y^{2})

= \frac{4 x ^{3} ( 3 x - 4 y ^{2} )}{- 4 x ^{3}}

Cancel the common factor:

4

= \frac{x ^{3} ( 3 x - 4 y ^{2} )}{- x ^{3}}

Cancel the common factor:

x^{3}

= \frac{3 x - 4 y ^{2}}{- 1}

Apply the fraction rule:

\frac{a}{- 1} = - a

= - (3 x - 4 y^{2})

Simplify

- (3 x - 4 y^{2}) : - 3 x + 4 y^{2}

= - 3 x + 4 y^{2}

7 = \frac{1}{2} (x + 6)

170

a^{8}

3 h^{2} + 2 h - 16

5 x + 9 < 7 x - 5

What is (12x^4-16x^3y^2)/(-4x^3) ?
The solution to (12x^4-16x^3y^2)/(-4x^3) is -3x+4y^2