Question

what is the formula of (a+b)^3​

Answer 1

Answer:

Step-by-step explanation:

(a + b)³ = (a + b)(a + b)(a + b)

                = (a² + 2ab + b²)(a + b)

                = a³ + 3a^2b + 3ab² + b³

In the same way,

(a - b)³

= (a - b)(a - b)(a - b)

= [ a(a - b) - b(a -b) ](a - b)

= [ a² - ab - ab + b²](a - b)

= (a² - 2ab + b²)(a - b)

= a(a² - 2ab + b²) - b(a² - 2ab + b²)

= a³ - 2(a²)b + ab²- (a²)b + 2ab² + b³

= a³ - 3(a²)b + 3ab² + b³

ANSWER: The cube of a difference is

(a - b)³ = a³ - 3(a²)b + 3ab² + b³

Answer 2

Answer:

$(a + b)^{3} = a ^{3} + b^{3} + 3ab(a + b)</p><p></p><p></p><p></p><p>$

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