10,
Date
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bilt
710
Snudent Notebooks
Page
Simplify (a-2b] (a²+4ab-b²)
Answers
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "b2" was replaced by "b^2". 1 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
((a2) - 4ab) + 22b2
STEP
2
:
Trying to factor a multi variable polynomial
2.1 Factoring a2 - 4ab + 4b2
Try to factor this multi-variable trinomial using trial and error
Found a factorization : (a - 2b)•(a - 2b)
Detecting a perfect square :
2.2 a2 -4ab +4b2 is a perfect square
It factors into (a-2b)•(a-2b)
which is another way of writing (a-2b)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 :
(a - 2b)2