Question

16x⁴-y⁴ factorise them​

Answer 1

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

Check : y4 is the square of y2

Factorization is : (4x2 + y2) • (4x2 - y2)