Question

(4а - 3в) - (2а + в)(3а - 5в)=

Answer 1

Ответ:

(1ав)-(2ав)×(-2ав)=5 а^3 в^3

Answer 2

To simplify the expression (4a - 3b) - (2a + b)(3a - 5b), let's break down the steps:

1. Distribute the second term of the second parentheses (2a + b) into the terms of the first parentheses (4a - 3b):

   (2a + b)(4a - 3b) = 8a^2 - 6ab + 4ab - 3b^2 = 8a^2 - 2ab - 3b^2

2. Distribute the second term of the second parentheses (2a + b) into the terms of the second parentheses (3a - 5b):

   (2a + b)(3a - 5b) = 6a^2 - 10ab + 3ab - 5b^2 = 6a^2 - 7ab - 5b^2

3. Substitute the distributed expressions into the original expression:

   (4a - 3b) - (8a^2 - 2ab - 3b^2) + (6a^2 - 7ab - 5b^2)

4. Now, combine like terms:

   4a - 3b - 8a^2 + 2ab + 3b^2 - 6a^2 + 7ab + 5b^2

5. Group terms with the same variables:

   (-8a^2 - 6a^2) + (4a + 2ab + 7ab) + (-3b + 3b^2 + 5b^2)

6. Combine coefficients of like terms:

   -14a^2 + 13ab + 8b^2

So, the simplified expression is:

-14a^2 + 13ab + 8b^2