Question
How can you use polynomial identities to factor polynomials and simplify numerical expressions ?
The correct answer is: We use polynomial identities to reduce the time and space while solving polynomial expressions and equations.
ANSWER:
Hint:
, where a and b can be real numbers, variables or multiples of both.
We are asked to explain on how the polynomial identities can be used to factorize polynomials and simplify them.
Step 1 of 2:
The given expression is . It can be written as, 
.
Thus, we can apply the identity to simplify the expression.
Step 2 of 2:
Simplifying the expression, we get:
Thus, the simplified expression is: 
.
Note:
We use polynomial identities to reduce the time and space while solving polynomial expressions and equations.
Related Questions to study
Use polynomial identities to multiply the expressions ?
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This can also be done by finding the cube of each values and adding them. But that might be time consuming. Hence, we use these identities.
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This can also be done by finding the cube of each values and adding them. But that might be time consuming. Hence, we use these identities.
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We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.
How can you use polynomial identities to factor polynomials and simplify numerical 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.
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 ?
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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 ?
How can you use polynomial identities to factor polynomials and simplify numerical expressions ?
We use polynomial identities to reduce the time and space while solving polynomial expressions and equations.
How can you use polynomial identities to factor polynomials and simplify numerical expressions ?
We use polynomial identities to reduce the time and space while solving polynomial expressions and equations.
Use polynomial identities to multiply the expressions ?
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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 ?
This can also be done by finding the cube of each values and adding them. But that might be time consuming. Hence, we use these identities.
How can you use polynomial identities to factor polynomials and simplify numerical expressions ?
This can also be done by finding the cube of each values and adding them. But that might be time consuming. Hence, we use these identities.
Use polynomial identities to multiply the expressions ?
Use polynomial identities to multiply the expressions ?
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 ?
We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.
How can you use polynomial identities to factor polynomials and simplify numerical 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.
