Question

factorise 10mn+4n+5n+2

Answer 1

Answer:

5m2-10mn+5n2

Final result :

5 • (m - n)2

Reformatting the input :

Changes made to your input should not affect the solution:

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

Step-by-step explanation:

Step 1 :

Equation at the end of step 1 :

((5 • (m2)) - 10mn) + 5n2

Step 2 :

Equation at the end of step 2 :

(5m2 - 10mn) + 5n2

Step 3 :

Step 4 :

Pulling out like terms :

4.1 Pull out like factors :

5m2 - 10mn + 5n2 = 5 • (m2 - 2mn + n2)

Trying to factor a multi variable polynomial :

4.2 Factoring m2 - 2mn + n2

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

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

Detecting a perfect square :

4.3 m2 -2mn +n2 is a perfect square

It factors into (m-n)•(m-n)

which is another way of writing (m-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 :

5 • (m - n)2

Answer 2

Step by step explanation:

10mn+5n+4n+2

5n(2m+1) + 2(n+1)