Question

1)8а-3b+2ab-12/4+b+4a+ab 2)3,25*4,28-1,15*5,22+3,25*5,22-1,15*4,28/11,6(в квадрате)-7,4(в квадрате)

Answer 1

$1)\;\frac{8a-3b+2ab-12}{4+b+4a+ab}=\frac{2a(4+b)-3(b+4)}{(4+b)+a(4+b)}=\frac{(2a-3)(b+4)}{(a+1)(b+4)}=\frac{2a-3}{a+1}$

$2)\;\frac{3,25\cdot4,28-1,15\cdot5,22+3,25\cdot5,22-1,15\cdot4,28}{11,6^2-7,4^2}=\\ =\frac{3,25(4,28+5,22)-1,15(5,22+4,28)}{(11,6-7,4)(11,6+7,4)}=\frac{(3,25-1,15)(5,22+4,28)}{(11,6-7,4)(11,6+7,4)}=\\ =\frac{2,1\cdot9,5}{4,2\cdot19}=\frac{2,1\cdot9,5}{2\cdot2,1\cdot2\cdot9,5}=\frac14=0,25$

Answer 2

1. To simplify the expression 8а-3b+2ab-12/4+b+4a+ab, we can combine like terms:

8a + 2ab + 4a + ab - 3b + b - 12/4

Combining the like terms, we have:

(8a + 4a) + (2ab + ab) + (b - 3b) + (12/4)

Simplifying further, we get:

12a + 3ab - 2b + 3

So, the simplified expression is 12a + 3ab - 2b + 3.

2. To simplify the expression 3.254.28-1.155.22+3.255.22-1.154.28/11.6^2-7.4^2, we can follow the order of operations (PEMDAS/BODMAS):

First, we calculate the squares: 11.6^2 = 134.56 7.4^2 = 54.76

Now, we substitute the squares in the expression:

3.254.28 - 1.155.22 + 3.255.22 - 1.154.28 / 134.56 - 54.76

Next, we perform the multiplications and divisions:

13.97 - 5.999 + 16.985 - 4.922 / 134.56 - 54.76

Finally, we subtract and divide:

(13.97 - 5.999 + 16.985 - 4.922) / (134.56 - 54.76)

= 20.023 / 79.8

= 0.2509

So, the simplified value of the expression is approximately 0.2509.