What is expand 5c^2de(9cd^2-7cd+4e) ?

The solution to expand 5c^2de(9cd^2-7cd+4e) is 45ec^3d^3-35ec^3d^2+20e^2c^2d

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expand 5c^2de(9cd^2-7cd+4e)

expand

5 c^{2} d e (9 c d^{2} - 7 c d + 4 e)

45 e c^{3} d^{3} - 35 e c^{3} d^{2} + 20 e^{2} c^{2} d

Solution steps

5 c^{2} d e (9 c d^{2} - 7 c d + 4 e)

= 5 e c^{2} d (9 c d^{2} - 7 c d + 4 e)

Distribute parentheses

= 5 c^{2} d e 9 c d^{2} + 5 c^{2} d e (- 7 c d) + 5 c^{2} d e 4 e

Apply minus-plus rules

+ (- a) = - a

= 5 \cdot 9 e c^{2} c d^{2} d - 5 \cdot 7 e c^{2} c dd + 5 \cdot 4 ee c^{2} d

Simplify

5 \cdot 9 e c^{2} c d^{2} d - 5 \cdot 7 e c^{2} c dd + 5 \cdot 4 ee c^{2} d : 45 e c^{3} d^{3} - 35 e c^{3} d^{2} + 20 e^{2} c^{2} d

= 45 e c^{3} d^{3} - 35 e c^{3} d^{2} + 20 e^{2} c^{2} d

\frac{1}{( y ^{2} - 1 ) ( e ^{y} - 2 )}

2 (2 x - 3 y = - 19)

C (3, - 5)

(x - 3) \cdot (2 x - 5 = 0)

(3 e^{x} + 1) (ln (x))

What is expand 5c^2de(9cd^2-7cd+4e) ?
The solution to expand 5c^2de(9cd^2-7cd+4e) is 45ec^3d^3-35ec^3d^2+20e^2c^2d