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mario62 [17]
3 years ago
5

A^3+4a^2+4a factor completely

Mathematics
1 answer:
sveticcg [70]3 years ago
8 0

So firstly, factor out the GCF, or greatest common factor. To find the GCF, list the factors of every term and the greatest one they all share is their GCF. In this case, the GCF is "a":

a(a^2+4a+4)

Next, we are going to apply the square of binomials rule in this situation, which is (x+y)(x+y)=x^2+2xy+y^2 In this case:

a^2+4a+4=(a+2)(a+2)\\\\a(a+2)(a+2)

<u>Your final answer is a(a+2)(a+2)</u>

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Solve 5w^2+25=115, Where w is a real number.
MArishka [77]

Answer:

w=+/-4.24 or whatever could be either since its squared

Step-by-step explanation:

subtract 25 so 5x^2=90. divide by 5 so w^2=18 then square root to get rid of the ^2 so w=+/-4.24

4 0
2 years ago
2.5 X 10^5 divided by 1.0 X 10^10
bekas [8.4K]

Answer:

0.000025

Step-by-step explanation:

PEMDAS (Exponets first.)

10^5 = 100,000

10^10 = 10,000,000,000

rewrite

2.5 x 100,000 divided by 1.0 x 10,000,000,000

PEMDAS (multiplication next.)

2.5 x (10^5) = 250,000

1.0 x (10^10) = 10,000,000,000

rewrite.

250,000 divided by 10,000,000,000 = 0.000025

0.000025

6 0
2 years ago
Solve system of equations 2x + 2y + 5z = 7 6x + 8y + 5z = 9 2x + 3y + 5z = 6
svet-max [94.6K]

Answer:

the values of x, y and z are x= 2, y =-1 and z=1

Step-by-step explanation:

We need to solve the following system of equations.

We will use elimination method to solve these equations and find the values of x, y and z.

2x + 2y + 5z = 7     eq(1)

6x + 8y + 5z = 9     eq(2)

2x + 3y + 5z = 6     eq(3)

Subtracting eq(1) and eq(3)

2x + 2y + 5z = 7

2x + 3y + 5z = 6

-    -       -        -

_____________

0 -y + 0 = 1

-y = 1

=> y = -1

Subtracting eq(2) and eq(3)

6x + 8y + 5z = 9    

2x + 3y + 5z = 6    

-     -      -          -

______________

4x + 5y +0z = 3    

4x + 5y = 3      eq(4)

Putting value of y = -1 in equation 4

4x + 5y = 3

4x + 5(-1) = 3

4x -5 = 3

4x = 3+5

4x = 8

x= 8/4

x = 2

Putting value of x=2 and y=-1 in eq(1)

2x + 2y + 5z = 7

2(2) + 2(-1) + 5z = 7

4 -2 + 5z = 7

2 + 5z = 7

5z = 7 -2

5z = 5

z = 5/5

z = 1

So, the values of x, y and z are x= 2, y =-1 and z=1

5 0
3 years ago
How to simplify the expression (6+2)2 to the second power-4x3 using order of operations
dimaraw [331]
The answer would be 28.
--
Here's my work:

Remember PEMDAS:
- Parentheses
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Also, remember to always go left to right.

(6+2)^2-4*3
Square everything in the parenthesis.

36+4-4*3
Multiply where you see a multiplication symbol from left to right.

36+4-12
Add.

40-12
Subtract.

28
Done!
--
I hope I was able to guide and help you on this.
4 0
3 years ago
HELP I need to fine the slope-intercept form. Please it’s a timed assignment I only have two try’s and I already used one
barxatty [35]

Answer:

5. y = -1/2x + 6

6.  y = 1/2x + 150

7. y = 10x + 20

8. y = 25x

Step-by-step explanation:

Look at the y-intercept and eliminate the answers you dont need.

Then find the slope of each.

8 0
2 years ago
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