1mn^2-4mn please solve this problem
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Step-by-step explanation:
Step by Step Solution:
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STEP
1
:
1.1 Evaluate : (m+n)2 = m2+2mn+n2
Trying to factor a multi variable polynomial :
1.2 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 :
1.3 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 :
(m - n)2
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