Question

Factorise 4x^2-32xy+64y^2
a) (x+4y) (4x+16y)
b) (x+4y) (x-16y)
c) (x-4y) (4x+16y)
d) (x-4y) (4x-16y)​

Answer 1

Answer:

(1): "y2" was replaced by "y^2". 1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

((4 • (x2)) + 32xy) + 26y2

STEP

2

:

Equation at the end of step

2

:

(22x2 + 32xy) + 26y2

STEP

3

:

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

4x2 + 32xy + 64y2 = 4 • (x2 + 8xy + 16y2)

Trying to factor a multi variable polynomial :

4.2 Factoring x2 + 8xy + 16y2

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

Found a factorization : (x + 4y)•(x + 4y)

Detecting a perfect square :

4.3 x2 +8xy +16y2 is a perfect square

It factors into (x+4y)•(x+4y)

which is another way of writing (x+4y)2