What is 2x^3(y(y-1)(y-2)x^{y-3}) ?

The solution to 2x^3(y(y-1)(y-2)x^{y-3}) is 2yx^y(y-1)(y-2)

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simplify 2x^3(y(y-1)(y-2)x^{y-3})

simplify

2 x^{3} (y (y - 1) (y - 2) x^{y - 3})

2 y x^{y} (y - 1) (y - 2)

Solution steps

2 x^{3} (y (y - 1) (y - 2) x^{y - 3})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{3} x^{y - 3} = x^{3 + y - 3}

= 2 y (y - 1) (y - 2) x^{3 + y - 3}

Simplify

3 + y - 3 : y

= 2 y x^{y} (y - 1) (y - 2)

0.1 \cdot e^{- 0.1 \cdot 12}

(\frac{1}{7 \cdot 2 π}) \cdot e^{- \frac{1}{2} (\frac{90 - 85}{7})^{2}}

2190 \cdot (- 0.3) e^{- 0.3 (2)}

What is 2x^3(y(y-1)(y-2)x^{y-3}) ?
The solution to 2x^3(y(y-1)(y-2)x^{y-3}) is 2yx^y(y-1)(y-2)