Question

4m (3+5m)-10m (6+2m);2a (3a-5)-(-3)(a-7).​

Answer 1

Ответ:

1) -48m

2) 6a^(2) - 7a - 21

Объяснение:

1)4m ( 3 + 5m )- 10m ( 6 + 2m ) = 12m + 20m^(2) - 60m - 20m^(2) = 12m - 60m =

= - 48m

2)2a (3a-5) - (-3) (a-7) = 6a^(2) - 10a + 3a - 21 = 6a^(2) - 7a - 21

Answer 2

To simplify these algebraic expressions, you can use the distributive property and combine like terms. Let's simplify each expression step by step:

1. 4m(3 + 5m) - 10m(6 + 2m):

   First, apply the distributive property to both terms inside the parentheses: = (4m * 3) + (4m * 5m) - (10m * 6) - (10m * 2m)

   Now, perform the multiplications: = 12m + 20m^2 - 60m - 20m^2

   Next, combine like terms (the terms with 'm'): = (12m - 60m) + (20m^2 - 20m^2)

   = -48m

   So, the simplified expression is -48m.

2. 2a(3a - 5) - (-3)(a - 7):

   First, apply the distributive property to both terms inside the parentheses: = (2a * 3a) - (2a * 5) - (-3 * a) - (-3 * 7)

   Now, perform the multiplications: = 6a^2 - 10a + 3a + 21

   Combine like terms (the 'a' terms): = (6a^2 - 10a + 3a) + 21

   = 6a^2 - 7a + 21

   So, the simplified expression is 6a^2 - 7a + 21.