Question

16a2-40ab+25ab2 factorice in trinomials​

Answer 1

Answer:

(16 • (a2)) - 40ab) + 52b2

STEP

2

:

Equation at the end of step

2

:

(24a2 - 40ab) + 52b2

STEP

3

:

Trying to factor a multi variable polynomial

3.1 Factoring 16a2 - 40ab + 25b2

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

Found a factorization : (4a - 5b)•(4a - 5b)

Detecting a perfect square :

3.2 16a2 -40ab +25b2 is a perfect square

It factors into (4a-5b)•(4a-5b)

which is another way of writing (4a-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 :

(4a - 5b)2