Question

11. 1) 7(2a + 1)2 – (3a - 2)(6 - 2a) - 3a2;​

Answer 1

Упростить:

7(2а+1)² - (3а-2)(6-2а) - 3а²=

28а² + 28а + 7 - 18а + 12 + 6а² - 4а - 3а²=

31а² + 6а +19.

Answer 2

It looks like you've provided a mathematical expression. Let's simplify it step by step:

Given expression: 7(2a + 1)^2 - (3a - 2)(6 - 2a) - 3a^2

Step 1: Expand the squared term 7(2a + 1)^2 = 7(4a^2 + 4a + 1) = 28a^2 + 28a + 7

Step 2: Expand the second term using the distributive property (3a - 2)(6 - 2a) = 18a - 6a^2 - 12 + 4a = 22a - 6a^2 - 12

Step 3: Combine the terms from steps 1 and 2 28a^2 + 28a + 7 - (22a - 6a^2 - 12) - 3a^2

Step 4: Distribute the negative sign to terms within the parentheses 28a^2 + 28a + 7 - 22a + 6a^2 + 12 - 3a^2

Step 5: Combine like terms (28a^2 + 6a^2 - 3a^2) + 28a - 22a + 7 + 12

Step 6: Simplify the coefficients of the like terms 31a^2 + 6a + 28a - 22a + 19

Step 7: Combine the remaining like terms 31a^2 + 12a + 19

So, the simplified form of the expression is 31a^2 + 12a + 19.