Question

Factorise: 16m²-40mn+25n²​

Answer 1

Answer:

(4m - 5n)2

Step-by-step explanation:

Factoring 16m2 - 40mn + 25n2

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

Found a factorization : (4m - 5n)•(4m - 5n)

Detecting a perfect square :

3.2 16m2 -40mn +25n2 is a perfect square

It factors into (4m-5n)•(4m-5n)

which is another way of writing (4m-5n)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 :

(4m - 5n)2

Answer 2

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