Simplify (3a-2b)²-2(3a-2b)(a+2b)+(a+2)²

Mathematics

2 answers:

mylen [45]3 years ago

7 0

2. 2
4a - 20ab + 12b. +4a + 4

Mnenie [13.5K]3 years ago

6 0

Answer: 4a2-20ab+12b2+4a+4

the 2 is squareing 4a and 12b

Step-by-step explanation:

expand move the parentheses

multiply the parentheses

collect like terms

You might be interested in

please help me answer this question Solve: y − x = 12 y + x = -26 (19, -7). (-7, 1). (7, 19). (-19, -7).

Tpy6a [65]

Answer:

(-19 , -7)

Step-by-step explanation:

y - x = 12

y + x = -25 we sum them to get

2y = -14 , y = -7

then we put -7 instead of y in any of the equations:

-7 - x = 12

-x = 19

x = -19,

finally (x , y) is (-19 , -7)

3 0

3 years ago

-2|x-4|+7=-3 how do i solve this absolute value problem

ira [324]

Let's do this step by step:
Subtract both sides by 7
-2|x-4|= -10
Divide each side by -2
|x-4|= 5
Now since this is an absolute value equation, you will have two answers. This means you make the equation both positive and negative.
X-4= 5and -(x-4)= 5
Solve for x for both
X-4= 5: add four on both sides
X= 9
-x+ 4= 5: subtract 4 and divide by -1
X= -1
So your answer is: X= -1 , 9

4 0

3 years ago

The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain after 1000 years?

adell [148]

Answer: 129.33 g

Step-by-step explanation:

$$$Let $p=A \cdot e^{n t}$ \\$(p=$ present amount, $A=$ initial amount, $n=$ decay rate, $t=$ time)$

$\begin{aligned}&\Rightarrow \text { Given } p=\frac{A}{2} \ a t \ t=1590 \\&\Rightarrow \frac{1}{2}=e^{1590n} \Rightarrow n=\frac{\ln (1 / 2)}{1590}=-0.00043594162\end{aligned}$

$If $A=200 \mathrm{mg}$ and $t=1000$ then,$$\begin{aligned}P &=200 e^{\left(\frac{\ln \left(1/2\right)}{1590}\right) \cdot 1000} \text \\\\&=129.33 \text { grams}\end{aligned}$