What is expand e^{4-x^2}(1-2x^2) ?

The solution to expand e^{4-x^2}(1-2x^2) is e^{4-x^2}-2e^{4-x^2}x^2

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expand e^{4-x^2}(1-2x^2)

expand

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

e^{4 - x^{2}} - 2 e^{4 - x^{2}} x^{2}

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

a = e^{4 - x^{2}}, b = 1, c = 2 x^{2}

= e^{4 - x^{2}} \cdot 1 - e^{4 - x^{2}} \cdot 2 x^{2}

= 1 \cdot e^{4 - x^{2}} - 2 e^{4 - x^{2}} x^{2}

Multiply:

1 \cdot e^{4 - x^{2}} = e^{4 - x^{2}}

= e^{4 - x^{2}} - 2 e^{4 - x^{2}} x^{2}

\frac{1}{( x + r ) ^{2} \cdot x ^{2}}

\frac{2 ( 4 + 2 ^{\frac{3}{4}} - 3 2 )}{3}

3 e^{2 (x + 1)} - (2 e)^{x} (e^{4} + 9) + 3 e^{2} \cdot 4^{x}

lo g_{10} (100 t)

\frac{5 ( s + 2 )}{( s ^{2} ( s + 1 ) ( s + 3 ) )}

What is expand e^{4-x^2}(1-2x^2) ?
The solution to expand e^{4-x^2}(1-2x^2) is e^{4-x^2}-2e^{4-x^2}x^2