9 m square + 4 x square + 12 m n
Answers
Answer:
-9m2-12mn-4n2
Final result :
-1 • (3m + 2n)2
Step by step solution :
Step 1 :
Equation at the end of step 1 :
((0 - (9 • (m2))) - 12mn) - 22n2
Step 2 :
Equation at the end of step 2 :
((0 - 32m2) - 12mn) - 22n2
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
-9m2 - 12mn - 4n2 = -1 • (9m2 + 12mn + 4n2)
Trying to factor a multi variable polynomial :
4.2 Factoring 9m2 + 12mn + 4n2
Try to factor this multi-variable trinomial using trial and error
Found a factorization : (3m + 2n)•(3m + 2n)
Detecting a perfect square :
4.3 9m2 +12mn +4n2 is a perfect square
It factors into (3m+2n)•(3m+2n)
which is another way of writing (3m+2n)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
Step-by-step explanation:
can also be written as;
This equation is now in the form of which is equal to
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Regards
-PM