Question

# How can you use polynomial identities to multiply expressions ?

Hint:

### Let a and b be variables or real numbers, then:

We are asked to explain how you can use the polynomial identities to multiply expressions.

## The correct answer is: 4x4 + 4x2y2 + y6

### Step 1 of 2:

Here, the given expression is , where .

So, we can use the identity to find the expansion of

Step 2 of 2:

Apply the polynomial identity, to get the answer of .Thus, we have:

Thus, the expansion is:

Thus, the expansion is:

Any expression of the form can be expanded using the identity rather than using the conventional and time taking method of multiplying them, .

### Related Questions to study

### Prove the difference of cubes identity :

To prove an equation to be equal, we have to prove either the RHS is equal to the LHS or vice versa. The side should be selected based on the simplification process.

### Prove the difference of cubes identity :

To prove an equation to be equal, we have to prove either the RHS is equal to the LHS or vice versa. The side should be selected based on the simplification process.

### Prove the sum of cubes identity :

To prove an equation to be equal, we have to prove either the RHS is equal to the LHS or vice versa. The side should be selected based on the simplification process.