Question

The product of (a+b) and (a+b) is / (a+b) (a+b)   1 point (a² + b² ) ( a+ b ) ( a +b )² (a² b² )​

Answer 1

To find : The product (a + b) (a - b) (a² - ab + b²) (a² + ab + b²)

Solution :

We have (a + b) (a - b) (a² - ab + b²) (a² + ab + b²)

By rearranging the terms :

{(a + b) (a² + ab + b²)}{

(a - b) (a² - ab + b²)}

We know that a³ + b³ = (a + b)(a² + b² – ab) and a³ – b³ = (a – b)(a² + b² + ab)

Now

= (a³ + b³) (a³ - b³)

= (a³)² - (b³)²

[By using the identity , (a + b)(a - b) = a² – b² ]

= a⁶ - b⁶

Hence the product (a + b) (a - b) (a² - ab + b²) (a² + ab + b²) is a⁶ - b⁶.

Among the given options option (B) a⁶ - b⁶ is correct.

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