Question

factorize 36a²+84ab+49b²​

Answer 1

Factoring    36a2 - 84ab + 49b2  

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

Found a factorization  :  (6a - 7b)•(6a - 7b)

Detecting a perfect square :

3.2    36a2  -84ab  +49b2  is a perfect square  

It factors into  (6a-7b)•(6a-7b)

which is another way of writing  (6a-7b)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 :

 (6a - 7b)2

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Answer 2

Answer:

(6a)^ 2+2×6×7 + (7b)^2

(6a+7b)^2

using identity

(a+b)^2= a^2+2ab+b^2

Step-by-step explanation:

Hope it helped you

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