What is expand (3e^x-x^2)(3x^2) ?

The solution to expand (3e^x-x^2)(3x^2) is 9e^xx^2-3x^4

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expand (3e^x-x^2)(3x^2)

expand

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

9 e^{x} x^{2} - 3 x^{4}

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

a = (3 x^{2}), b = 3 e^{x}, c = x^{2}

= (3 x^{2}) \cdot 3 e^{x} - (3 x^{2}) x^{2}

= 3 e^{x} (3 x^{2}) - x^{2} (3 x^{2})

Simplify

3 e^{x} (3 x^{2}) - x^{2} (3 x^{2}) : 9 e^{x} x^{2} - 3 x^{4}

= 9 e^{x} x^{2} - 3 x^{4}

\frac{1}{( 1 - 3 i ) ^{4}}

\frac{6}{( x + 3 ) ^{2}}

lo g_{2} (32)

\frac{4}{1 + e ^{- 3 (t - 2)}}

lo g_{10} (10000 z)

What is expand (3e^x-x^2)(3x^2) ?
The solution to expand (3e^x-x^2)(3x^2) is 9e^xx^2-3x^4