What is expand (7x+2e^{7x+2})(3x^2) ?

The solution to expand (7x+2e^{7x+2})(3x^2) is 21x^3+6e^{7x+2}x^2

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expand (7x+2e^{7x+2})(3x^2)

expand

(7 x + 2 e^{7 x + 2}) (3 x^{2})

21 x^{3} + 6 e^{7 x + 2} x^{2}

Solution steps

(7 x + 2 e^{7 x + 2}) (3 x^{2})

Apply the distributive law:

a (b + c) = ab + a c

a = (3 x^{2}), b = 7 x, c = 2 e^{7 x + 2}

= (3 x^{2}) \cdot 7 x + (3 x^{2}) \cdot 2 e^{7 x + 2}

= 7 x (3 x^{2}) + 2 e^{7 x + 2} (3 x^{2})

Simplify

7 x (3 x^{2}) + 2 e^{7 x + 2} (3 x^{2}) : 21 x^{3} + 6 e^{7 x + 2} x^{2}

= 21 x^{3} + 6 e^{7 x + 2} x^{2}

(3 y = 33 - 16 y - 7 + 7 i) (- 2 + 5 i)

(3, 4, 5) y (1, - 4, 0)

\frac{π ( e ^{5} - 1 )}{5 e ^{5}}

\frac{7}{( x - 4 ) ^{3}}

\frac{16}{( x - 1 ) ( x + 7 )}

What is expand (7x+2e^{7x+2})(3x^2) ?
The solution to expand (7x+2e^{7x+2})(3x^2) is 21x^3+6e^{7x+2}x^2