Question

factorise 4m2-n2-6np-6p2 pls help​

Answer 1

Answer:

(2m+n) . (2m-n)

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "n2" was replaced by "n^2". 1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

22m2 - n2

STEP

2

:

Trying to factor as a Difference of Squares

2.1 Factoring: 4m2-n2

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 : 4 is the square of 2

Check : m2 is the square of m1

Check : n2 is the square of n1

Factorization is : (2m + n) • (2m - n)

Final result :

(2m + n) • (2m - n)