PLEASEEE
Given the expression: 4x10 − 64x2

Part A: Rewrite the expression by factoring out the greatest common factor.

Part B: Factor the entire expression completely. Show the steps of your work.

The given expression is

We need to determine the expression by factoring out the greatest common factor.

Also, we need to determine the factor of the entire expression completely.

Part A: Expression by factoring out the greatest common factor:

The GCF of two numbers is the highest number that divides both the numbers.

To rewrite the expression by factoring out the greatest common factor, we need to factor out the highest number that divides the two expressions.

Thus, we have;

Thus, the expression is

Part B: Factoring the entire expression:

Let us factor the entire expression.

(1)

Now, we shall factor the term

Applying the identity

Thus, we have;

(2)

Factoring the term , we get;

Thus, substituting the above value in equation (2), we get;

Factoring the term , we get;

Substituting the values in the equation (1), we get;

Thus, the factor of the expression is

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