Question

# Use polynomial identities to multiply each expression .

Hint:

### , where a and b can be real values, variables or multiples of both. We are asked to use polynomial identities to multiply each expression.

## The correct answer is: 4x2 - 64y2

### Step 1 of 2:

The given expression is .

Here a=2x and b=8y.

Step 2 of 2:

Substitute the values in the expression .

Thus, we get:

.

Hence, the product is: 4x^{2} - 64y^{2}

Hence, the product is: 4x

^{2}- 64y

^{2}

Polynomial identities are used to reduce the time and space while you solve higher degree polynomial expressions.

### Related Questions to study

### What number does C3 represent in the expansion ? Explain.

### What number does C3 represent in the expansion ? Explain.

### Dakota said the third term of the expansions of .Explain Dakota’s error and then correct the answer.

You can use Both the Pascal’s triangle and binomial expansion to find the value of (x + y)n .

### Dakota said the third term of the expansions of .Explain Dakota’s error and then correct the answer.

You can use Both the Pascal’s triangle and binomial expansion to find the value of (x + y)n .

### What number does C3 represent in the expansion ? Explain.

The value is called the combination permutation.

### What number does C3 represent in the expansion ? Explain.

The value is called the combination permutation.

### Explain how to use a polynomial identity to factor .

### Explain how to use a polynomial identity to factor .

### Use polynomial identities to factor the polynomials or simplify the expressions :

### Use polynomial identities to factor the polynomials or simplify the expressions :

### How are Pascal’s triangle and binomial expansion such as related?

### How are Pascal’s triangle and binomial expansion such as related?

### Explain how to use a polynomial identity to factor .

We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.

### Explain how to use a polynomial identity to factor .

We use identities to speed up the process of multiplication and simplification. There are some basic polynomial identities that you need to by heart.