Question
Use polynomial identities to factor the polynomials or simplify the expressions :
The correct answer is: Thus, the factor is: 4x^2 - y^6 = (2x-y^3) (2x + y^3).
ANSWER:
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.
Step 1 of 2:
The given expression is .
Step 2 of 2:
Use the polynomial identity to simplify the expression;
Thus, the factor is: .
Note:
Polynomial identities are used to simplify or to find the prduct of expressions. It reduces space and time during solving.
Related Questions to study
How can you use polynomial identities to rewrite expressions efficiently ?
Polynomial identities are equations that are true for all possible values of the variable and numbers.
How can you use polynomial identities to rewrite expressions efficiently ?
Polynomial identities are equations that are true for all possible values of the variable and numbers.
Use binomial theorem to expand (2c + d)6
The expansion of the expression can also be found using the Pascal’s triangle. But, it is necessary to remember the values of the triangle to write down the expansion.
Use binomial theorem to expand (2c + d)6
The expansion of the expression can also be found using the Pascal’s triangle. But, it is necessary to remember the values of the triangle to write down the expansion.
Use binomial theorem to expand 
.
Use binomial theorem to expand .
Use binomial theorem to expand (x - 1)7
For the expansion of an expression (x + y)n , we would have n+1 terms. This is something you need to keep in mind.
Use binomial theorem to expand (x - 1)7
For the expansion of an expression (x + y)n , we would have n+1 terms. This is something you need to keep in mind.
Use polynomial identities to factor the polynomials or simplify the expressions :
Use polynomial identities to factor the polynomials or simplify the expressions :
Use Pascal triangle to expand
Use Pascal triangle to expand
Use binomial theorem to expand (s2 + 3)5
For the expansion of an expression (x + y)n , we would have n+1 terms. This is something you need to keep in mind.
Use binomial theorem to expand (s2 + 3)5
For the expansion of an expression (x + y)n , we would have n+1 terms. This is something you need to keep in mind.
Use polynomial identities to factor the polynomials or simplify the expressions :
Use polynomial identities to factor the polynomials or simplify the expressions :
Use Pascal triangle to expand
Use Pascal triangle to expand
Use polynomial identities to factor the polynomials or simplify the expressions :
Use polynomial identities to factor the polynomials or simplify the expressions :
Use Pascal triangle to expand
Use Pascal triangle to expand
Use binomial theorem to expand (x - 3)4
For the expansion of an expression (x + y)n , we would have n+1 terms. This is something you need to keep in mind.
Use binomial theorem to expand (x - 3)4
For the expansion of an expression (x + y)n , we would have n+1 terms. This is something you need to keep in mind.
Use polynomial identities to factor the polynomials or simplify the expressions :
Use polynomial identities to factor the polynomials or simplify the expressions :
How is 
obtained from 
How is obtained from
Use Pascal triangle to expand (x + y)6
The expansion of the polynomial (x + y)6 can be found using the values of 6Cr
Use Pascal triangle to expand (x + y)6
The expansion of the polynomial (x + y)6 can be found using the values of 6Cr
