Question

(5m-3n)(4m+3n)+3n(-2m+3n)

Answer 1

Ответ:

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Answer 2

Ответ:

Объяснение:

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Answer 3

To simplify the expression (5m-3n)(4m+3n) + 3n(-2m+3n), you can use the distributive property (also known as the FOIL method for multiplying binomials) to multiply each term in the first parentheses by each term in the second parentheses, and then combine like terms:

(5m - 3n)(4m + 3n) + 3n(-2m + 3n)

First, let's apply the distributive property to the first part of the expression:

(5m - 3n)(4m + 3n) = 5m * 4m + 5m * 3n - 3n * 4m - 3n * 3n

Now, simplify each of these terms:

20m^2 + 15mn - 12mn - 9n^2

Now, let's apply the distributive property to the second part of the expression:

3n(-2m + 3n) = 3n * -2m + 3n * 3n

Simplify each of these terms:

-6mn + 9n^2

Now, we can put everything together:

(20m^2 + 15mn - 12mn - 9n^2) + (-6mn + 9n^2)

Now, combine like terms within the parentheses:

20m^2 + (15mn - 12mn) + (-9n^2 + 9n^2)

Combine the like terms in the middle:

20m^2 + 3mn + 0

Finally, the simplified expression is:

20m^2 + 3mn