2a + 3b X 4a - 6ab + 9 b

Respuestas

Respuesta dada por: g4h48j8j902wj

Respuesta:

Explicación paso aSolution for (2a-3b)(4a^2+6ab+9b^2)= equation:

Simplifying

(2a + -3b)(4a2 + 6ab + 9b2) = 0

Reorder the terms:

(2a + -3b)(6ab + 4a2 + 9b2) = 0

Multiply (2a + -3b) * (6ab + 4a2 + 9b2)

(2a * (6ab + 4a2 + 9b2) + -3b * (6ab + 4a2 + 9b2)) = 0

((6ab * 2a + 4a2 * 2a + 9b2 * 2a) + -3b * (6ab + 4a2 + 9b2)) = 0

Reorder the terms:

((18ab2 + 12a2b + 8a3) + -3b * (6ab + 4a2 + 9b2)) = 0

(18ab2 + 12a2b + 8a3 + (6ab * -3b + 4a2 * -3b + 9b2 * -3b)) = 0

(18ab2 + 12a2b + 8a3 + (-18ab2 + -12a2b + -27b3)) = 0

Reorder the terms:

(18ab2 + -18ab2 + 12a2b + -12a2b + 8a3 + -27b3) = 0

Combine like terms: 18ab2 + -18ab2 = 0

(0 + 12a2b + -12a2b + 8a3 + -27b3) = 0

(12a2b + -12a2b + 8a3 + -27b3) = 0

Combine like terms: 12a2b + -12a2b = 0

(0 + 8a3 + -27b3) = 0

(8a3 + -27b3) = 0

Solving

8a3 + -27b3 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '27b3' to each side of the equation.

8a3 + -27b3 + 27b3 = 0 + 27b3

Combine like terms: -27b3 + 27b3 = 0

8a3 + 0 = 0 + 27b3

8a3 = 0 + 27b3

Remove the zero:

8a3 = 27b3

Divide each side by '8'.

a3 = 3.375b3

Simplifying

a3 = 3.375b3

Combine like terms: 3.375b3 + -3.375b3 = 0.000

a3 + -3.375b3 = 0.000

The solution to this equation could not be determined.

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