Question

factorise m4+m2*n2+n4​

Answer 1

answer:

Changes made to your input should not affect the solution:

(1): "m2" was replaced by "m^2". 3 more similar replacement(s).

STEP

1

:

m4 - n4

Simplify ———————

n2 - m2

Trying to factor as a Difference of Squares:

1.1 Factoring: m4 - n4

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.