Question

Simplyfy (a+b) ³-a³-b³

Answer 1

$(a + b) ^{3} - {a}^{3} - {b}^{3} \\ = {a}^{3} + {b}^{3} + 3ab(a + b) - {a}^{3} - {b}^{3} \\ = 3ab(a + b)$
hope it helps.....

Answer 2

Answer:

(a+b) ³-a³-b³ = 3ab(a+b)

Step-by-step explanation:

Required to simplify

(a+b) ³-a³-b³

Solution:

Recall the formula

(a+b)³ = a³ +3a²b+3ab²+ b³

To simplify the given expression, we need to apply the identity in the given expression

(a+b) ³-a³-b³ = a³ +3a²b+3ab²+ b³ - -a³-b³

= 3a²b+3ab²

= 3ab(a+b)

Hence,

(a+b)³-a³-b³ = 3ab(a+b)

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