What is (6x^3+48x^2)/(3x^3) ?

The solution to (6x^3+48x^2)/(3x^3) is (2(x+8))/x

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simplify (6x^3+48x^2)/(3x^3)

simplify

\frac{6 x ^{3} + 48 x ^{2}}{3 x ^{3}}

\frac{2 ( x + 8 )}{x}

Solution steps

\frac{6 x ^{3} + 48 x ^{2}}{3 x ^{3}}

Factor

6 x^{3} + 48 x^{2} : 6 x^{2} (x + 8)

= \frac{6 x ^{2} ( x + 8 )}{3 x ^{3}}

Factor the number:

6 = 3 \cdot 2

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

Cancel the common factor:

3

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

Apply exponent rule:

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

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

= \frac{2 x ^{2} ( x + 8 )}{x ^{2} x}

Cancel the common factor:

x^{2}

= \frac{2 ( x + 8 )}{x}

4.1

2 lo g_{5} (25)

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

6.5

- 7 - (- 9)