Question

11. 1) 7(2a + 1)² - (3a - 2)(6-2a) - 3a²; 2) - (3a - 1)²-(4-5a)(7- 2a) - 5a²; 3) (2a - 5)² + (1 - 3a)(3- 2a) - 7a²; 4) 2(2а - 3)² - 3(3а + 7)(4 - a) + 9a² + 72a ​

Answer 1

Вот так?Надеюсь так!

Answer 2

Sure, I can help you simplify these expressions:

1. $7(2a + 1)^2 - (3a - 2)(6 - 2a) - 3a^2$:

Expand each term:

$7(4a^2 + 4a + 1) - (18 - 6a - 12a + 4a^2) - 3a^2$

Now, distribute the 7 and simplify:

$28a^2 + 28a + 7 - 18 + 6a + 12a - 4a^2 - 3a^2$

Combine like terms:

$28a^2 - 4a^2 - 3a^2 + 28a + 6a + 12a + 7 - 18$

Simplify further:

$21a^2 + 46a - 11$

2. $-(3a - 1)^2 - (4 - 5a)(7 - 2a) - 5a^2$:

First, expand the square:

$-(9a^2 - 6a + 1) - (28 - 13a + 10a^2) - 5a^2$

Now, distribute the negative sign and simplify:

$-9a^2 + 6a - 1 - 28 + 13a - 10a^2 - 5a^2$

Combine like terms:

$-9a^2 - 10a^2 - 5a^2 + 6a + 13a - 28 - 1$

Simplify further:

$-24a^2 + 19a - 29$

3. $(2a - 5)^2 + (1 - 3a)(3 - 2a) - 7a^2$:

Expand the square:

$(4a^2 - 20a + 25) + (3 - 3a - 6a + 6a^2) - 7a^2$

Now, combine like terms:

$4a^2 - 20a + 25 + 3 - 3a - 6a + 6a^2 - 7a^2$

Simplify further:

$4a^2 + 6a^2 - 7a^2 - 3a - 6a + 3 + 25$

Combine like terms:

$3a^2 - 9a + 28$

4. $2(2a - 3)^2 - 3(3a + 7)(4 - a) + 9a^2 + 72a$:

First, expand the squares:

$2(4a^2 - 12a + 9) - 3(12a - a^2 + 28 - 3a) + 9a^2 + 72a$

Now, distribute and simplify each term:

$8a^2 - 24a + 18 - 36a + 3a^2 - 84 + 3a + 9a^2 + 72a$

Combine like terms:

$8a^2 + 3a^2 + 9a^2 - 24a - 36a + 3a + 18 - 84$