What is 4ye^{-y^2}(1-y^2) ?

The solution to 4ye^{-y^2}(1-y^2) is (4y(-y^2+1))/(e^{y^2)}

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simplify 4ye^{-y^2}(1-y^2)

simplify

4 y e^{- y^{2}} (1 - y^{2})

\frac{4 y ( - y ^{2} + 1 )}{e ^{y^{2}}}

Solution steps

4 y e^{- y^{2}} (1 - y^{2})

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= 4 \cdot \frac{1}{e ^{y^{2}}} y (- y^{2} + 1)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 4 y ( 1 - y ^{2} )}{e ^{y^{2}}}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4 y ( - y ^{2} + 1 )}{e ^{y^{2}}}

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

(0. 3^{2}) (4 \cdot 1 0^{- 2})

(5 x y^{3}) \cdot (2 x^{5} y^{2})

- 16 e^{- 500} (8 e^{- 500})

What is 4ye^{-y^2}(1-y^2) ?
The solution to 4ye^{-y^2}(1-y^2) is (4y(-y^2+1))/(e^{y^2)}