Question

Which expression is equivalent to x^6 - 16x^2?

Answer 1

Answer:

(x2 + 4)  •  (x2 - 4)

Step-by-step explanation:

Answer 2

Answer:

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

         A2 - AB + BA - B2 =

         A2 - AB + AB - B2 =

         A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 16 is the square of 4

Check :  x4  is the square of  x2 

Factorization is :       (x2 + 4)  •  (x2 - 4)