What is 4(2x-5x^2)^3(2-10x)x^3 ?

The solution to 4(2x-5x^2)^3(2-10x)x^3 is 4x^3(-10x+2)(-5x^2+2x)^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 4(2x-5x^2)^3(2-10x)x^3

simplify

4 (2 x - 5 x^{2})^{3} (2 - 10 x) x^{3}

4 x^{3} (- 10 x + 2) (- 5 x^{2} + 2 x)^{3}

Solution steps

4 (2 x - 5 x^{2})^{3} (2 - 10 x) x^{3}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

x^{3} (- 5 x^{2} + 2 x)^{3} = (x (- 5 x^{2} + 2 x))^{3}

= 4 (x (- 5 x^{2} + 2 x))^{3} (- 10 x + 2)

((2 x - 5 x^{2}) x)^{3} = x^{3} (2 x - 5 x^{2})^{3}

= 4 x^{3} (- 5 x^{2} + 2 x)^{3} (- 10 x + 2)

f (72) 250 e^{- 0.0046 \cdot 72}

\frac{1}{20} e^{- \frac{1}{40}}

20 e^{- 2 (60)}

2.2 e^{- 7}

- e^{- x} (2 e^{x})

What is 4(2x-5x^2)^3(2-10x)x^3 ?
The solution to 4(2x-5x^2)^3(2-10x)x^3 is 4x^3(-10x+2)(-5x^2+2x)^3