What is expand-42(-14e^{-7x^2}x^2+e^{-7x^2}) ?

The solution to expand-42(-14e^{-7x^2}x^2+e^{-7x^2}) is 588e^{-7x^2}x^2-42e^{-7x^2}

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expand-42(-14e^{-7x^2}x^2+e^{-7x^2})

expand

- 42 (- 14 e^{- 7 x^{2}} x^{2} + e^{- 7 x^{2}})

588 e^{- 7 x^{2}} x^{2} - 42 e^{- 7 x^{2}}

Solution steps

- 42 (- 14 e^{- 7 x^{2}} x^{2} + e^{- 7 x^{2}})

Apply the distributive law:

a (b + c) = ab + a c

a = - 42, b = - 14 e^{- 7 x^{2}} x^{2}, c = e^{- 7 x^{2}}

= - 42 (- 14 e^{- 7 x^{2}} x^{2}) + (- 42) e^{- 7 x^{2}}

Apply minus-plus rules

- (- a) = a, + (- a) = - a

= 42 \cdot 14 e^{- 7 x^{2}} x^{2} - 42 e^{- 7 x^{2}}

Multiply the numbers:

42 \cdot 14 = 588

= 588 e^{- 7 x^{2}} x^{2} - 42 e^{- 7 x^{2}}

\frac{1}{( n + 1 ) n}

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

2^{x} (2^{x} \cdot 2)

12 (1 - \frac{256}{x ^{2}})

\frac{4}{81} e^{3 x} (9 x^{3} - 9 x^{2} + 6 x - 2)

What is expand-42(-14e^{-7x^2}x^2+e^{-7x^2}) ?
The solution to expand-42(-14e^{-7x^2}x^2+e^{-7x^2}) is 588e^{-7x^2}x^2-42e^{-7x^2}