Question

(m-4)(√m-2)+8√m(√m+2)

Answer 1

Тут не квадрат, а куб

Answer 2

To simplify the given expression, let's start by expanding it step by step:

Expression: (m - 4)(√m - 2) + 8√m(√m + 2)

Step 1: Expand the first part using the distributive property (FOIL method): (m - 4)(√m - 2) = m√m - 2m - 4√m + 8

Step 2: Expand the second part using the distributive property: 8√m(√m + 2) = 8√m√m + 16√m

Step 3: Simplify the terms with square roots: 8√m√m = 8m

Step 4: Combine the like terms from the first part: m√m - 4√m - 2m + 8

Step 5: Combine the like terms from the second part: 8m + 16√m

Now, we can combine the two parts to get the final simplified expression:

Final simplified expression: (m√m - 4√m - 2m + 8) + (8m + 16√m)

Combine like terms again: m√m - 4√m - 2m + 8 + 8m + 16√m

Now, group the terms with square roots and the terms without square roots: (m√m + 16√m) + (-4√m - 2m + 8 + 8m)

Combine the grouped terms: (1 + 16)√m + (-2m + 8m) - 4√m + 8

Simplify further: 17√m + 6m - 4√m + 8

Finally, combine the terms with square roots and the constant terms: (17√m - 4√m) + (6m + 8)

Combine like terms: 13√m + 6m + 8

The simplified expression is: 13√m + 6m + 8