Question

Factorise each of the following expressions 25a²+ 70ab +49 b²​

Answer 1

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

((25 • (a2)) - 70ab) + 72b2

STEP

2

:

Equation at the end of step

2

:

(52a2 - 70ab) + 72b2

STEP

3

:

Trying to factor a multi variable polynomial

3.1 Factoring 25a2 - 70ab + 49b2

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

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

Detecting a perfect square :

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

It factors into (5a-7b)•(5a-7b)

which is another way of writing (5a-7b)2