What is expand (2a-3e)(4a^2+6ae+9e) ?

The solution to expand (2a-3e)(4a^2+6ae+9e) is 8a^3-18e^2a+18ea-27e^2

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expand (2a-3e)(4a^2+6ae+9e)

expand

(2 a - 3 e) (4 a^{2} + 6 a e + 9 e)

8 a^{3} - 18 e^{2} a + 18 e a - 27 e^{2}

Solution steps

(2 a - 3 e) (4 a^{2} + 6 a e + 9 e)

= (2 a - 3 e) (4 a^{2} + 6 e a + 9 e)

Distribute parentheses

= 2 a \cdot 4 a^{2} + 2 a \cdot 6 a e + 2 a \cdot 9 e + (- 3 e) \cdot 4 a^{2} + (- 3 e) \cdot 6 a e + (- 3 e) \cdot 9 e

Apply minus-plus rules

+ (- a) = - a

= 2 \cdot 4 a^{2} a + 2 \cdot 6 e aa + 2 \cdot 9 e a - 3 \cdot 4 e a^{2} - 3 \cdot 6 ee a - 3 \cdot 9 ee

Simplify

2 \cdot 4 a^{2} a + 2 \cdot 6 e aa + 2 \cdot 9 e a - 3 \cdot 4 e a^{2} - 3 \cdot 6 ee a - 3 \cdot 9 ee : 8 a^{3} - 18 e^{2} a + 18 e a - 27 e^{2}

= 8 a^{3} - 18 e^{2} a + 18 e a - 27 e^{2}

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

\frac{1}{3} (8 x - 9 y = 2)

(e + f) (e - f)

10 π (400 - 200 x)

(- 2, 3) y (1, - 4)

What is expand (2a-3e)(4a^2+6ae+9e) ?
The solution to expand (2a-3e)(4a^2+6ae+9e) is 8a^3-18e^2a+18ea-27e^2