Question

347. 1) 2a(a - b) + 3bla-b): 2) 3n(m - 3) + 5m (m-3);3) 5a (x + y) - 4b (x + y):4) 7a(c-d)-2b(c-d).​

Answer 1

Ответ:

Объяснение:

1) 2a(a - b) + 3b(a-b) = 2a² - 2ab + 3ab - 3b² = 2a² -3b² - ab

2) 3n(m - 3) + 5m (m-3) = 3nm - 9n + 5m ² - 15m = 5m² + 3nm - 9n - 15m

3) 5a (x + y) - 4b (x + y) = 5ax + 5ay - 4bx - 4by

4) 7a(c-d)-2b(c-d) = 7ac - 7ad - 2bc + 2bd

Answer 2

It looks like you have four expressions, and you want to simplify each of them. I'll simplify each expression step by step:

1. 2a(a - b) + 3b(a - b): Factor out (a - b): (a - b)(2a + 3b)

2. 3n(m - 3) + 5m(m - 3): Factor out (m - 3): (m - 3)(3n + 5m)

3. 5a(x + y) - 4b(x + y): Factor out (x + y): (x + y)(5a - 4b)

4. 7a(c - d) - 2b(c - d): Factor out (c - d): (c - d)(7a - 2b)

So, the simplified expressions are:

1. (a - b)(2a + 3b)
2. (m - 3)(3n + 5m)
3. (x + y)(5a - 4b)
4. (c - d)(7a - 2b)