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

The solution to 12(x+4x^2+(16x^3)/3) is 12x+48x^2+64x^3

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simplify 12(x+4x^2+(16x^3)/3)

simplify

12 (x + 4 x^{2} + \frac{16 x ^{3}}{3})

12 x + 48 x^{2} + 64 x^{3}

Solution steps

12 (x + 4 x^{2} + \frac{16 x ^{3}}{3})

Join

x + 4 x^{2} + \frac{16 x ^{3}}{3} : \frac{x \cdot 3 + 12 x ^{2} + 16 x ^{3}}{3}

= 12 \cdot \frac{x \cdot 3 + 12 x ^{2} + 16 x ^{3}}{3}

= 12 \cdot \frac{3 x + 12 x ^{2} + 16 x ^{3}}{3}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{12 ( 3 x + 12 x ^{2} + 16 x ^{3} )}{3}

Divide the numbers:

\frac{12}{3} = 4

= 4 (3 x + 12 x^{2} + 16 x^{3})

Expand

4 (3 x + 12 x^{2} + 16 x^{3}) : 12 x + 48 x^{2} + 64 x^{3}

= 12 x + 48 x^{2} + 64 x^{3}

30 (2 + 2)

5 (- 5 - 3)

\frac{4 x ( 4 n - 4 x )}{n ^{2}}

\frac{( e ^{\frac{y}{t}} )}{( e ^{\frac{y}{t}} - 1 ) ^{2}}

- 2 (7 - - 2) + 57

What is 12(x+4x^2+(16x^3)/3) ?
The solution to 12(x+4x^2+(16x^3)/3) is 12x+48x^2+64x^3