Question

48 m^4 - 3 factorise it ​

Answer 1

Answer:

24 (626287^6627527417167275274

Answer 2

Answer:

Pulling out like terms

3.1 Pull out like factors :

48m4 - 3 = 3 • (16m4 - 1)

Trying to factor as a Difference of Squares:

3.2 Factoring: 16m4 - 1

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 : 1 is the square of 1

Check : m4 is the square of m2