What is expand (3yx^2-y^4)(5e^{5t}) ?

The solution to expand (3yx^2-y^4)(5e^{5t}) is 15e^{5t}yx^2-5e^{5t}y^4

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expand (3yx^2-y^4)(5e^{5t})

expand

(3 y x^{2} - y^{4}) (5 e^{5 t})

15 e^{5 t} y x^{2} - 5 e^{5 t} y^{4}

Solution steps

(3 y x^{2} - y^{4}) (5 e^{5 t})

Apply the distributive law:

a (b - c) = ab - a c

a = (5 e^{5 t}), b = 3 y x^{2}, c = y^{4}

= (5 e^{5 t}) \cdot 3 y x^{2} - (5 e^{5 t}) y^{4}

= 3 y x^{2} (5 e^{5 t}) - y^{4} (5 e^{5 t})

Simplify

3 y x^{2} (5 e^{5 t}) - y^{4} (5 e^{5 t}) : 15 e^{5 t} y x^{2} - 5 e^{5 t} y^{4}

= 15 e^{5 t} y x^{2} - 5 e^{5 t} y^{4}

2 e (2 + ln (2))

\frac{204}{12}

\frac{( x + 5 ) ^{2}}{x + 6}

\frac{30 ( 0.8 )}{1}

2 x 2 + x - 6

What is expand (3yx^2-y^4)(5e^{5t}) ?
The solution to expand (3yx^2-y^4)(5e^{5t}) is 15e^{5t}yx^2-5e^{5t}y^4