Question

49a² + 70ab + 25b²
solve this using suitable identities
pls answer with proper steps thank you​

Answer 1

Answer:

(7a + 5b)2

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 by step solution :

Step 1 :

Equation at the end of step 1 :

((49 • (a2)) + 70ab) + 52b2

Step 2 :

Equation at the end of step 2 :

(72a2 + 70ab) + 52b2

Step 3 :

Trying to factor a multi variable polynomial :

3.1 Factoring 49a2 + 70ab + 25b2

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

Found a factorization : (7a + 5b)•(7a + 5b)

Detecting a perfect square :

3.2 49a2 +70ab +25b2 is a perfect square

It factors into (7a+5b)•(7a+5b)

which is another way of writing (7a+5b)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 :

(7a + 5b)2

Answer 2

hope it helps you dear

please mark my answer as brainlist