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iVinArrow [24]
2 years ago
15

Simplify: (2/d^2)^3 Please help :)

Mathematics
2 answers:
stiv31 [10]2 years ago
8 0
Changes made to your input should not affect the solution:

(1): "d2" was replaced by "d^2".

STEP
1
:
Equation at the end of step 1

(2d2 - 3d) - 2
STEP
2
:
Trying to factor by splitting the middle term

2.1 Factoring 2d2-3d-2

The first term is, 2d2 its coefficient is 2 .
The middle term is, -3d its coefficient is -3 .
The last term, "the constant", is -2

Step-1 : Multiply the coefficient of the first term by the constant 2 • -2 = -4

Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -3 .

-4 + 1 = -3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1
2d2 - 4d + 1d - 2

Step-4 : Add up the first 2 terms, pulling out like factors :
2d • (d-2)
Add up the last 2 terms, pulling out common factors :
1 • (d-2)
Step-5 : Add up the four terms of step 4 :
(2d+1) • (d-2)
Which is the desired factorization

Final result :
(d - 2) • (2d + 1)
arlik [135]2 years ago
6 0
I searched it up :)
Your welcome

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The Quadratic Equation c² + 6c+ 8 = 0<br><br> Show work please
Bad White [126]
The formula for the quadratic formula is x (c in this case) = (-b(+/-)√(b²-4ac))/2a
This is used for an equation in standard quadratic form: ax² + bx + c = 0
1.) Put it in the correct form, if not already in it.
Ex. c² + 6c + 8 = 0
2.) Identify each part of the equation:
a = 1 (the leading coefficient), b = 6 (the coefficient in front of the second variable), c = 8
3.) Plug in each variable answer
c = (-6(+/-)√(6²-4(1)(8))/2(1)
4.) Simplify
c = (-6(+/-)√(36-(4*8))/2
c = (-6(+/-)√(36-32))/2
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c = (-6(+/-)2)/2
*Here, the equation splits in two. It becomes:
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*Simplify again:
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The answers c = -2 and c = -4 would solve the given equation.
Hope this helps! :)
6 0
3 years ago
Read 2 more answers
A certain high school has 1,488 students. If you subtract the number of girls from boys you get 78. Let x be the number of boys
Dahasolnce [82]

Answer:

boys = 705

girls = 783

Step-by-step explanation:

We are to find the number of boys and girls in the school

the answer can be determined using simultaneous equation

x = boys

y = girls

y - x = 78  equation 1

y + x  = 1488 equation 2

subtract equation 1 from 2

2x = 1410

x = 1410/2 = 705

Substitute for x in equation 1

y - 705 = 78

y = 705 + 78 = 783

3 0
2 years ago
Evaluate the expression 3.14(a2 + ab) when a = 4 and b = 3. (Input decimals only, such as 12.71, as the answer.
kondaur [170]

Answer:

87.92

Step-by-step explanation:

3.14(a²+ab)=

<em>Plugging in values for a and b</em>

3.14(4²+4×3)=

3.14(16+12)=

3.14(28)=

87.92

6 0
3 years ago
Read 2 more answers
One question please help! Thanks guys in advance!!!
Ede4ka [16]
Y = kx
80 = 16k
k = 80/16 = 5

direct variation

The first 2 choices are corect
5 0
3 years ago
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