Q- factorise
(25 m² - 40 mn + 16n2)-49z2
Answers
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
((25 • (m2)) - 40mn) + 24n2
Step 2 :
Equation at the end of step 2 :
(52m2 - 40mn) + 24n2
Step 3 :
Trying to factor a multi variable polynomial :
3.1 Factoring 25m2 - 40mn + 16n2
Try to factor this multi-variable trinomial using trial and error
Found a factorization : (5m - 4n)•(5m - 4n)
Detecting a perfect square :
3.2 25m2 -40mn +16n2 is a perfect square
It factors into (5m-4n)•(5m-4n)
which is another way of writing (5m-4n)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 :
(5m - 4n)2
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