What is (16x^3-12xy)/(8x^2y) ?

The solution to (16x^3-12xy)/(8x^2y) is (4x^2-3y)/(2xy)

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simplify (16x^3-12xy)/(8x^2y)

simplify

\frac{16 x ^{3} - 12 x y}{8 x ^{2} y}

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

Solution steps

\frac{16 x ^{3} - 12 x y}{8 x ^{2} y}

Factor

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

= \frac{4 x ( 4 x ^{2} - 3 y )}{8 x ^{2} y}

Factor the number:

8 = 4 \cdot 2

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

Cancel the common factor:

4

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{2} = xx

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

Cancel the common factor:

x

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

- 36 + \frac{8}{5} - 7.14 - 3 π

3 \frac{2}{4}

10 \cdot \frac{1}{10}

(3 w)^{4}

What is (16x^3-12xy)/(8x^2y) ?
The solution to (16x^3-12xy)/(8x^2y) is (4x^2-3y)/(2xy)