Question

a⁴b⁴ - 16c⁴ factorise​

Answer 1

Step-by-step explanation:

Factoring: a4b4-16c4

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

Check : b4 is the square of b2

Check : c4 is the square of c2

Factorization is : (a2b2 + 4c2) • (a2b2 - 4c2)