What is (24x^4-48x^3)/(8x) ?

The solution to (24x^4-48x^3)/(8x) is 3x^2(x-2)

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simplify (24x^4-48x^3)/(8x)

simplify

\frac{24 x ^{4} - 48 x ^{3}}{8 x}

3 x^{2} (x - 2)

Solution steps

\frac{24 x ^{4} - 48 x ^{3}}{8 x}

Factor

24 x^{4} - 48 x^{3} : 24 x^{3} (x - 2)

= \frac{24 x ^{3} ( x - 2 )}{8 x}

Factor the number:

24 = 8 \cdot 3

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

Cancel the common factor:

8

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

Apply exponent rule:

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

x^{3} = x x^{2}

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

Cancel the common factor:

x

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

- 2 + \frac{3}{5}

5 ∣ 6 ∣ - 2

6 (4 x + 7) + x

(4 x - 3) (2 x + 5)

1 + - 8