Question
Use polynomial identities to factor the polynomials or simplify the expressions : x9 - 8
Hint:
, here a and b can be real values, variables or multiples of both. We are asked to use polynomial identities to factorize the given expression.
The correct answer is: x9 - 8 = (x3 - 2)(x6 + 2x3 + 4)
Step 1 of 2:
The given expression is x9 - 8 . We can rewrite it as, 
. It is of the form 
. Here, 
.
Step 2 of 2:
Use the polynomial identity to simplify the expression;
Thus, the simplified expression is; 
.
Thus, the simplified expression is;
.Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions
Related Questions to study
Use polynomial identities to factor the polynomials or simplify the expressions : x8 - 9
The multiplication of algebraic expressions is a method of multiplying two given expressions consisting of variables and constants.
Use polynomial identities to factor the polynomials or simplify the expressions : x8 - 9
The multiplication of algebraic expressions is a method of multiplying two given expressions consisting of variables and constants.
Use polynomial identities to multiply the expressions ? 
Polynomial identities are equations that are true for all possible values of the variable. We can perform polynomial multiplication by applying the distributive property to the multiplication of polynomials.
Use polynomial identities to multiply the expressions ?
Polynomial identities are equations that are true for all possible values of the variable. We can perform polynomial multiplication by applying the distributive property to the multiplication of polynomials.
Use polynomial identities to multiply the expressions ? 
The multiplication of algebraic expressions is a method of multiplying two given expressions consisting of variables and constants.
Use polynomial identities to multiply the expressions ?
The multiplication of algebraic expressions is a method of multiplying two given expressions consisting of variables and constants.
Use polynomial identities to multiply the expressions ? (10 + 21)2
Algebraic expression is an expression that is built by the combination of integer constants and variables.
Use polynomial identities to multiply the expressions ? (10 + 21)2
Algebraic expression is an expression that is built by the combination of integer constants and variables.
Use polynomial identities to multiply the expressions ? (7 + 9)2
Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions.
Use polynomial identities to multiply the expressions ? (7 + 9)2
Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions.
Use polynomial identities to multiply the expressions ? 103 
97
The multiplication of algebraic expressions is a method of multiplying two given expressions consisting of variables and constants.
Use polynomial identities to multiply the expressions ? 103 97
The multiplication of algebraic expressions is a method of multiplying two given expressions consisting of variables and constants.
Use polynomial identities to multiply the expressions ? 18 22
Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions.
Use polynomial identities to multiply the expressions ? 18 22
Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions.
Use polynomial identities to multiply the expressions ? 
The multiplication of algebraic expressions is a method of multiplying two given expressions consisting of variables and constants.
Use polynomial identities to multiply the expressions ?
The multiplication of algebraic expressions is a method of multiplying two given expressions consisting of variables and constants.
Use polynomial identities to multiply the expressions ? 
We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.
Use polynomial identities to multiply the expressions ?
We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.
Use polynomial identities to multiply the expressions ? 
We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.
Use polynomial identities to multiply the expressions ?
We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.
Use polynomial identities to multiply the expressions ? 
Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions.
Use polynomial identities to multiply the expressions ?
Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions.
Use polynomial identities to multiply the expressions ? (2x - 5)(2x + 5)
We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.
Use polynomial identities to multiply the expressions ? (2x - 5)(2x + 5)
We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.
Use polynomial identities to multiply the expressions ? (3x - 7)2
Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions.
Use polynomial identities to multiply the expressions ? (3x - 7)2
Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions.
Use polynomial identities to multiply the expressions ? (x + 6)2
We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.
Use polynomial identities to multiply the expressions ? (x + 6)2
We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.
Use polynomial identities to multiply the expressions ? (x - 9)(x - 9)
We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.
Use polynomial identities to multiply the expressions ? (x - 9)(x - 9)
We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.
