What is expand 5(3x+10)^3 ?

The solution to expand 5(3x+10)^3 is 135x^3+1350x^2+4500x+5000

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expand 5(3x+10)^3

expand

5 (3 x + 10)^{3}

135 x^{3} + 1350 x^{2} + 4500 x + 5000

Solution steps

5 (3 x + 10)^{3}

Expand

(3 x + 10)^{3} : 27 x^{3} + 270 x^{2} + 900 x + 1000

= 5 (27 x^{3} + 270 x^{2} + 900 x + 1000)

Distribute parentheses

= 5 \cdot 27 x^{3} + 5 \cdot 270 x^{2} + 5 \cdot 900 x + 5 \cdot 1000

Simplify

5 \cdot 27 x^{3} + 5 \cdot 270 x^{2} + 5 \cdot 900 x + 5 \cdot 1000 : 135 x^{3} + 1350 x^{2} + 4500 x + 5000

= 135 x^{3} + 1350 x^{2} + 4500 x + 5000

\frac{x ^{2} - 6 x + 8}{x ^{2} - 5 x + 4}

100 - 25

- 1 - \frac{2}{5}

\frac{x ^{2} + 9 x + 8}{x ^{2} + 4 x - 32}

\frac{6 !}{30 ! 6 !}

What is expand 5(3x+10)^3 ?
The solution to expand 5(3x+10)^3 is 135x^3+1350x^2+4500x+5000