Question
Use polynomial identities to factor the polynomials or simplify the expressions :
Hint:
, where a and b can be real values, variables or multiples of both. We are asked to use polynomial identities to simplify the given expressions.
The correct answer is: x3 - 27y3 = (x - 3y)(x2 + 3xy + 9y2)
Step 1 of 2:
The given expression is . It can be written as 
. This is of the form 
where 
.
Step 2 of 2:
Use the polynomial identity to simplify the expression;
Thus, the factor is: 
.
Thus, the factor is:
.Polynomial identities are used to simplify or to find the product of expressions. It reduces space and time during solving.
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