What is expand (-ye^5+3ye^3-ye^7+4y+10)*(5ye^2) ?

The solution to expand (-ye^5+3ye^3-ye^7+4y+10)*(5ye^2) is -5e^7y^2+15e^5y^2-5e^9y^2+20e^2y^2+50e^2y

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expand (-ye^5+3ye^3-ye^7+4y+10)*(5ye^2)

expand

(- y e^{5} + 3 y e^{3} - y e^{7} + 4 y + 10) \cdot (5 y e^{2})

- 5 e^{7} y^{2} + 15 e^{5} y^{2} - 5 e^{9} y^{2} + 20 e^{2} y^{2} + 50 e^{2} y

Solution steps

(- y e^{5} + 3 y e^{3} - y e^{7} + 4 y + 10) (5 y e^{2})

= (- e^{5} y + 3 e^{3} y - e^{7} y + 4 y + 10) (5 e^{2} y)

Distribute parentheses

= (5 y e^{2}) (- y e^{5}) + (5 y e^{2}) \cdot 3 y e^{3} + (5 y e^{2}) (- y e^{7}) + (5 y e^{2}) \cdot 4 y + (5 y e^{2}) \cdot 10

Apply minus-plus rules

+ (- a) = - a

= - e^{5} y (5 e^{2} y) + 3 e^{3} y (5 e^{2} y) - e^{7} y (5 e^{2} y) + 4 y (5 e^{2} y) + 10 (5 e^{2} y)

Simplify

- e^{5} y (5 e^{2} y) + 3 e^{3} y (5 e^{2} y) - e^{7} y (5 e^{2} y) + 4 y (5 e^{2} y) + 10 (5 e^{2} y) : - 5 e^{7} y^{2} + 15 e^{5} y^{2} - 5 e^{9} y^{2} + 20 e^{2} y^{2} + 50 e^{2} y

= - 5 e^{7} y^{2} + 15 e^{5} y^{2} - 5 e^{9} y^{2} + 20 e^{2} y^{2} + 50 e^{2} y

2 (x^{2} - 4 x + 4 - \frac{y}{2} = 8)

(2 - 2)^{4}

2 (x + Δ x) (x + 5)

C (- 4, 6) P (- 2, - 3)

(3 - x) (2 + 7)

What is expand (-ye^5+3ye^3-ye^7+4y+10)*(5ye^2) ?
The solution to expand (-ye^5+3ye^3-ye^7+4y+10)*(5ye^2) is -5e^7y^2+15e^5y^2-5e^9y^2+20e^2y^2+50e^2y