Question
Use polynomial identities to factor the polynomials or simplify the expressions : x8 - 9
Hint:
, where a and b can be real values, variables or multiples of both. We are asked to simplify the given polynomial using identities.
The correct answer is: x8 - 9 = (x4 - 3)(x4 + 3)
Step 1 of 2:
The given expression is x8 - 9 . It can be written as 
. This is of the form 
where 
.
Step 2 of 2:
Use the polynomial identity to simplify the expression; 8
Hence, the simplified expression is 
.
Hence, the simplified expression is
.The multiplication of algebraic expressions is a method of multiplying two given expressions consisting of variables and constants.
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