Question

factorise: a²-8ab+16b²-36c²​

Answer 1

Step-by-step explanation:

Changes made to your input should not affect the solution:

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

STEP

1

:

Equation at the end of step 1

((a2) - 8ab) + 24b2

STEP

2

:

Trying to factor a multi variable polynomial

2.1 Factoring a2 - 8ab + 16b2

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

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

Detecting a perfect square :

2.2 a2 -8ab +16b2 is a perfect square

It factors into (a-4b)•(a-4b)

which is another way of writing (a-4b)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 :

(a - 4b)2