Question

Раскрыть скобки 2m*n-mn*2+(mn*2-m*2n) 3a*3b-ab3+(a*3b+ab*3)

Answer 1

2 * m * n - m * n ^ 2 + m * n ^ 2 - m ^ 2 * n = 2 * m * n + m * n ^ 2

3 * a ^ 3 * b - a * b ^ 3 + a ^ 3 * b + a * b ^ 3 = 4 * a ^ 3 * b

Answer 2

To simplify the given expressions by expanding the parentheses, we'll follow the distributive property (also known as the distributive law or the distributive property of multiplication over addition).

1. For the expression 2mn - mn2 + (mn2 - m2n):

Step 1: Distribute the negative sign through the parentheses: 2mn - mn2 + mn2 - m2n

Step 2: Combine like terms: 2mn - m2n

Step 3: Factor out common terms: m * (2n - 2n)

Step 4: The expression simplifies to: m * 0

And anything multiplied by 0 is equal to 0, so the final result is 0.

2. For the expression 3a3b - ab3 + (a3b + ab*3):

Step 1: Distribute the negative sign through the parentheses: 3a3b - ab3 + a3b + ab*3

Step 2: Combine like terms: 3a3b + a3b + ab*3 - ab3

Step 3: Factor out common terms: (3a + a) * 3b - ab * (3 - 1)

Step 4: Perform the operations within the parentheses: 4a * 3b - 2ab

The simplified expression is 4a * 3b - 2ab.