Question
Use polynomial identities to factor the polynomials or simplify the expressions :
The correct answer is: Thus, the factor is: 8x^3 + y^9 = (2x+y^3) (4x^2 - 2xy^3 + y^6)
ANSWER:
Hint:
, where a and b can be real values, variables or multiples of both.
We are asked to use polynomial identities to factorize or simplify the expression.
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 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.
Related Questions to study
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
Use polynomial identities to multiply the expressions ?
Use polynomial identities to multiply the expressions ?
How can you use polynomial identities to factor polynomials and simplify numerical expressions ?
How can you use polynomial identities to factor polynomials and simplify numerical expressions ?
Use Pascal triangle to expand
The answer cam also be found by expanding the formula of 5Cr .
Use Pascal triangle to expand
The answer cam also be found by expanding the formula of 5Cr .
Use polynomial identities to multiply the expressions ?
Use polynomial identities to multiply the expressions ?
How can you use polynomial identities to factor polynomials and simplify numerical expressions ?
How can you use polynomial identities to factor polynomials and simplify numerical expressions ?
Use polynomial identities to multiply the expressions ?
Use polynomial identities to multiply the expressions ?
How is ( x + y )n obtained from (x + y)n-1
You could also get the value of from by just multiplying a ( x + y) with .
How is ( x + y )n obtained from (x + y)n-1
You could also get the value of from by just multiplying a ( x + y) with .