What is expand (8y^4e^3-7y^6)(-3ye^2) ?

The solution to expand (8y^4e^3-7y^6)(-3ye^2) is 21e^2y^7-24e^5y^5

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expand (8y^4e^3-7y^6)(-3ye^2)

expand

(8 y^{4} e^{3} - 7 y^{6}) (- 3 y e^{2})

21 e^{2} y^{7} - 24 e^{5} y^{5}

Solution steps

(8 y^{4} e^{3} - 7 y^{6}) (- 3 y e^{2})

= (8 e^{3} y^{4} - 7 y^{6}) (- 3 e^{2} y)

Apply the distributive law:

a (b - c) = ab - a c

a = (- 3 y e^{2}), b = 8 y^{4} e^{3}, c = 7 y^{6}

= (- 3 y e^{2}) \cdot 8 y^{4} e^{3} - (- 3 y e^{2}) \cdot 7 y^{6}

= 8 e^{3} y^{4} (- 3 e^{2} y) - 7 y^{6} (- 3 e^{2} y)

Simplify

8 e^{3} y^{4} (- 3 e^{2} y) - 7 y^{6} (- 3 e^{2} y) : 21 e^{2} y^{7} - 24 e^{5} y^{5}

= 21 e^{2} y^{7} - 24 e^{5} y^{5}

2 (x^{2} + 5 x + 2)^{3}

\frac{- 1}{a + 2}

(x + 4) 2 sin (x) d x

P (- 1, - 1) y Q (7, 7)

(- 2 - - 2 i)^{6}

What is expand (8y^4e^3-7y^6)(-3ye^2) ?
The solution to expand (8y^4e^3-7y^6)(-3ye^2) is 21e^2y^7-24e^5y^5