1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lina2011 [118]
3 years ago
6

Which equation is equivalent to (5z^2+3z+2)^2

Mathematics
1 answer:
Step2247 [10]3 years ago
5 0

We can use:

(a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc

(5z^2+3z+2)^2\\\\=(5z^2)^2+(3z)^2+2^2+2(5z^2)(3z)+2(5z^2)(2)+2(3z)(2)\\\\=5^2(z^2)^2+3^2z^2+4+30z^{2+1}+20z^2+12z\\\\=25z^4+9z^2+4+30z^3+20z^2+12z\\\\=25z^4+30z^3+29z^2+12z+4\to d)

\text{Answer:}\ d)\ 25z^4+30z^3+29z^2+12z+4

\text{Used:}\\\\(a\cdot b)^n=a^n\cdot b^n\\\\(a^n)^m=a^{n\cdot m}\\\\a^n\cdot a^m=a^{n+m}

You might be interested in
PLS HELP <br>find the unknown side of the triangle below (round to the nearest tenth) <br>​
Nonamiya [84]
22.9 is the closest but not exact. It was probably rounded off.

I used the formula: leg^2+leg^2=hypotenuse^2

(You can use that formula for any right triangle.)
7 0
3 years ago
The length of a rectangle is three times its width the length is 3 3/4 feet. What is the area if the rectangle?
Roman55 [17]

Answer:

A = 4 11/16 or 4.6875

Step-by-step explanation:

3 3/4 = 3W

divide both sides by 3

15/4 divided by 3 = W

15/4 x 1/3 = W

5/4 = W

A = L x W

3 3/4 x 1 1/4 = 15/4 x 5/4 = 75/16 = 4 11/16

4 0
2 years ago
What is the solution for x? 9-x/5=3
navik [9.2K]

Answer:

x = 30

Step-by-step explanation:

9-x/5=3

Subtract 9 from each side

9-9-x/5=3-9

-x/5 = -6

Multiply each side by -5

-x/5 *-5 = -6*-5

x = 30

8 0
3 years ago
Read 2 more answers
May I please get some help?
Vladimir79 [104]
I think its 80 m3 or either 18 m3
3 0
2 years ago
Read 2 more answers
What is the value of f(-3)
Readme [11.4K]

f(x)=\left\{\begin{array}{ccc}-2&if&x < -3\\4x&if&-3\leq x\leq-1\\x^2&if&x > -1\end{array}\right\\\\-3\leq-3\leq-1\to f(x)=4x\\\\f(-3)=4(-3)=-12

8 0
3 years ago
Other questions:
  • She has dimes and quarters 94 coins total the value is $19.30. How many of each does she have?
    15·1 answer
  • Based on the line plot how many recipes call for more than 1/4tsp of salt
    8·1 answer
  • ΔBCD is translated to become ΔB’C’D’.
    12·2 answers
  • You are w rapping the boxed DVD collection as a present. What is
    15·1 answer
  • Write an equation in slope-intercept form of the line with slope −4/5 that contains the point (−5,−4)
    7·2 answers
  • YOU’RE GETTING A BRAINLIST IF YOU ANSWER THESE:
    12·2 answers
  • Lisa is earning 7.50 dollars per hour she worked for 33 hours last week. how much money did she earn?
    8·2 answers
  • Grace needs to buy textbooks for her first semester in college. She borrows $660 and must pay the money back in equal amounts fo
    13·1 answer
  • Brand A bird seed is 20% sunflower seeds by weight. Brand B is 60% sunflower seed b weight. How many pounds of each must be mixe
    13·1 answer
  • Work out the missing value in the estimation below.<br> 237 + 462 ~ 200 +
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!