Question

Factorise the following
a⁴-16​

Answer 1

Answer:

Step-by-step explanation:

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 :  a4  is the square of  a2  

Factorization is :       (a2 + 4)  •  (a2 - 4)

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Answer 2

Answer:

Step-by-step explanation:

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 :  a4  is the square of  a2  

Factorization is :       (a2 + 4)  •  (a2 - 4)

HOPE IT HELPS YOU IF YESS SO PLZZ MARK ME AS BRAINLIEST