Question

121a² + 110ab + 25b2​

Answer 1

Step-by-step explanation:

b2" was replaced by "b^2". 1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

((121 • (a2)) + 110ab) + 52b2

STEP

2

:

Equation at the end of step

2

:

(112a2 + 110ab) + 52b2

STEP

3

:

Trying to factor a multi variable polynomial

3.1 Factoring 121a2 + 110ab + 25b2

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

Found a factorization : (11a + 5b)•(11a + 5b)

Detecting a perfect square :

3.2 121a2 +110ab +25b2 is a perfect square

It factors into (11a+5b)•(11a+5b)

which is another way of writing (11a+5b)2

Answer 2

Answer:

(11a+5b) ²

121a² + 110ab+25b²

(11a)²+ 2×11a×5b+(5b)²

therefore,

using (a+b) ²= a²+2ab+b²

(11a+5b)²

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