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 (s^{2} + 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 (s^{2} + 3)^{5}

### 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}

### Use binomial theorem to expand (x - 3)^{4}

### 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