Question

(4m^2-16mn+16n^2)/2(m-2n)
simplify the question​

Answer 1

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "n2" was replaced by "n^2". 1 more similar replacement(s).

STEP

1

:

n2

Simplify ——

2

Equation at the end of step

1

:

n2

((4•(m2))-16mn)+((16•——)•(m-2n))

2

STEP

2

:

Equation at the end of step 2

((4 • (m2)) - 16mn) + 8n2 • (m - 2n)

STEP

3

:

Equation at the end of step

3

:

(22m2 - 16mn) + 8n2 • (m - 2n)

STEP

4

:

STEP

5

:

Pulling out like terms

5.1 Pull out like factors :

4m2 + 8mn2 - 16mn - 16n3 =

4 • (m2 + 2mn2 - 4mn - 4n3)

Checking for a perfect cube :

5.2 m2 + 2mn2 - 4mn - 4n3 is not a perfect cube

Final result :

4 • (m2 + 2mn2 - 4mn - 4n3)

Answer 2

Answer:

m - 16 + 4n

Step-by-step explanation:

4m^2 - 16 + 16n^2 / 2 (m - 2n)

When the bracket opens in the denominator side it becomes 2 x m x (-2n) = 2m - 4n

When we divide it by the numerator it seems like this : 4m^2 - 16 +16n^2 /2m - 4n

= m - 16 + 4n