What is 15(x+5x^2+(25x^3)/3) ?

The solution to 15(x+5x^2+(25x^3)/3) is 15x+75x^2+125x^3

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simplify 15(x+5x^2+(25x^3)/3)

simplify

15 (x + 5 x^{2} + \frac{25 x ^{3}}{3})

15 x + 75 x^{2} + 125 x^{3}

Solution steps

15 (x + 5 x^{2} + \frac{25 x ^{3}}{3})

Join

x + 5 x^{2} + \frac{25 x ^{3}}{3} : \frac{x \cdot 3 + 15 x ^{2} + 25 x ^{3}}{3}

= 15 \cdot \frac{x \cdot 3 + 15 x ^{2} + 25 x ^{3}}{3}

= 15 \cdot \frac{3 x + 15 x ^{2} + 25 x ^{3}}{3}

Apply the fraction rule:

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

= \frac{15 ( 3 x + 15 x ^{2} + 25 x ^{3} )}{3}

Divide the numbers:

\frac{15}{3} = 5

= 5 (3 x + 15 x^{2} + 25 x^{3})

Expand

5 (3 x + 15 x^{2} + 25 x^{3}) : 15 x + 75 x^{2} + 125 x^{3}

= 15 x + 75 x^{2} + 125 x^{3}

(5 - i)^{4}

(3, - 4) y (5, 2)

5 (3 - 11)

(e^{3 t} - e^{- 3 t})^{2}

π (x + y)^{2}

What is 15(x+5x^2+(25x^3)/3) ?
The solution to 15(x+5x^2+(25x^3)/3) is 15x+75x^2+125x^3