Question

factorisethe expression 36m2-(m+n)2​

Answer 1

Step-by-step explanation:

Step 1 :

Equation at the end of step 1 :

((22•32m2) - 12mn) + n2

Step 2 :

Trying to factor a multi variable polynomial :

2.1 Factoring 36m2 - 12mn + n2

Try to factor this multi-variable trinomial using trial and error

Found a factorization : (6m - n)•(6m - n)

Detecting a perfect square :

2.2 36m2 -12mn +n2 is a perfect square

It factors into (6m-n)•(6m-n)

which is another way of writing (6m-n)2

How to recognize a perfect square trinomial:

• It has three terms

• Two of its terms are perfect squares themselves

• The remaining term is twice the product of the square roots of the other two terms

Final result :

(6m - n)2