(27)
Explain how you can prove the difference of two cubes identity.
$a^{3} - b^{3} = (a - b) (a^{2} + a b + b^{2})$

DONE

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Final Answer: The identity $a^{3} - b^{3} = (a - b) (a^{2} + a b + b^{2})$ is $t r u e$ .

Steps

Step 1 ：To prove the identity $a^{3} - b^{3} = (a - b) (a^{2} + a b + b^{2})$ , we can expand the right side of the equation and simplify it to see if it equals to the left side of the equation.

Step 2 ：The expanded form of the right side of the equation is indeed $a^{3} - b^{3}$ , which is the same as the left side of the equation. Therefore, the identity is proven to be true.

Step 3 ：Final Answer: The identity $a^{3} - b^{3} = (a - b) (a^{2} + a b + b^{2})$ is $t r u e$ .

(27)Explain how you can prove the difference of two cubes identity.a3−b3=(a−b)(a2+ab+b2) DONE

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(27)
Explain how you can prove the difference of two cubes identity.
$a^{3} - b^{3} = (a - b) (a^{2} + a b + b^{2})$

DONE