Question

identity of a^3+b^3. please help​

Answer 1

Answer:

a³+b³ = (a+b)(a²+b²-ab)

Step-by-step explanation:

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Answer 2

Answer:

(a³ + b³) = (a + b)(a² – ab + b²)

Step-by-step explanation:

We know that

(a + b)³ = a³ + 3ab(a + b) + b³………………………..(1)

Then

(a³ + b³) = (a + b)³ – 3ab(a + b)…………………………….(2)

Take the common term, then we get

(a³ + b³) = (a + b) [(a + b)2 – 3ab]…………………………..(3)

We know that

(a + b)2 = a² + 2ab + b²……………………….(4)

Substitute the equation (4) in equation (3).

(a³ + b³) = (a + b) [(a² + 2ab + b²) – 3ab]………………(5)

(a³ + b³) = (a + b)(a² – ab + b²)