What is expand 4e^x(x^2-49) ?

The solution to expand 4e^x(x^2-49) is 4e^xx^2-196e^x

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expand 4e^x(x^2-49)

expand

4 e^{x} (x^{2} - 49)

4 e^{x} x^{2} - 196 e^{x}

Solution steps

4 e^{x} (x^{2} - 49)

Apply the distributive law:

a (b - c) = ab - a c

a = 4 e^{x}, b = x^{2}, c = 49

= 4 e^{x} x^{2} - 4 e^{x} \cdot 49

= 4 e^{x} x^{2} - 4 \cdot 49 e^{x}

Multiply the numbers:

4 \cdot 49 = 196

= 4 e^{x} x^{2} - 196 e^{x}

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What is expand 4e^x(x^2-49) ?
The solution to expand 4e^x(x^2-49) is 4e^xx^2-196e^x