Question

On simplifining (a+b)^3 + (a-b)^3+6a(a^2-b^2) ?​

Answer 1

Answer:

8a³

Step-by-step explanation:

Let (a + b) be x. - Equation 1

(a - b) be y. - Equation 2

x + y = a + b + a - b

x + y = 2a. - Equation 3

xy = (a + b)(a - b)

xy = a² - b². - Equation 4

Now, we know that

x + y = 2a

Cubing on both sides, we get

(x + y)³= (2a)³

x³ + y³ + 3xy(x + y) = 8a³

(a + b)³ + (a - b)³ + 3 × 2a × (a² - b²) = 8a³

(a + b)³ + (a - b)³ + 6a(a² - b²) = 8a³

Hope this helps

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