What is 6x^5(x-4)^4(4x+1)(x+5)^5 ?

The solution to 6x^5(x-4)^4(4x+1)(x+5)^5 is 6x^5(x+5)^5(x-4)^4(4x+1)

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simplify 6x^5(x-4)^4(4x+1)(x+5)^5

simplify

6 x^{5} (x - 4)^{4} (4 x + 1) (x + 5)^{5}

6 x^{5} (x + 5)^{5} (x - 4)^{4} (4 x + 1)

Solution steps

6 x^{5} (x - 4)^{4} (4 x + 1) (x + 5)^{5}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

x^{5} (x + 5)^{5} = (x (x + 5))^{5}

= 6 (x (x + 5))^{5} (x - 4)^{4} (4 x + 1)

(x (x + 5))^{5} = x^{5} (x + 5)^{5}

= 6 x^{5} (x + 5)^{5} (x - 4)^{4} (4 x + 1)

x (7 x (x - 2)^{2})

e^{5} \cdot e^{- 7}

\frac{1}{1.097 \cdot 1 0 ^{7}} (\frac{1}{25} - \frac{1}{36})^{- 1}

What is 6x^5(x-4)^4(4x+1)(x+5)^5 ?
The solution to 6x^5(x-4)^4(4x+1)(x+5)^5 is 6x^5(x+5)^5(x-4)^4(4x+1)