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Elodia [21]
3 years ago
15

Simplifying Expressions

Mathematics
1 answer:
True [87]3 years ago
6 0

Answer:

As

\left(x^3+2x^2+5\right)-\left(8x^2-4x+6\right)=x^3-6x^2+4x-1

Therefore, option D is the correct answer is.

Step-by-step explanation:

Given the expression

\left(x^3+2x^2+5\right)\:-\:\left(8x^2\:-\:4x\:+\:6\right)

solving to simplify the expression

\left(x^3+2x^2+5\right)\:-\:\left(8x^2\:-\:4x\:+\:6\right)

=x^3+2x^2+5-\left(8x^2-4x+6\right)        ∵  \mathrm{Remove\:parentheses}:\quad \left(a\right)=a

=x^3+2x^2+5-\left(8x^2-4x+6\right)

=x^3+2x^2+5-8x^2+4x-6

Group like terms

=x^3+2x^2-8x^2+4x+5-6

\mathrm{Add\:similar\:elements:}\:2x^2-8x^2=-6x^2

=x^3-6x^2+4x+5-6

\mathrm{Add/Subtract\:the\:numbers:}\:5-6=-1

=x^3-6x^2+4x-1

Therefore, the simplified form of the expression is

\left(x^3+2x^2+5\right)-\left(8x^2-4x+6\right)=x^3-6x^2+4x-1

Therefore, option D is the correct answer is.

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Answer:

these are quadratic graphs

Step-by-step explanation:

8 0
3 years ago
The nutritional chart on the side of a box of a cereal states that there are 96 calories in a three fourths 3 4 cup serving. How
uysha [10]
<span>The answer is 1008 calories </span>
6 0
3 years ago
Find the shortest side of a triangle whose perimeter is 64
valentinak56 [21]
Answer shortest side would
Be 18.
64 -18 = 46
46 divided by 2 = 23.
So if two of the sides was the same 18 would be the smallest one of the sides could be
3 0
3 years ago
Urgent help needed!
zalisa [80]

To write this in standard form, you need to eliminate the fraction in the coefficient of variable x. You can do this by multiplying 8 to the two sides of the equation:

8(y) = 8[(-5/8)x + 3]

8y = -5x + 24

Transpose the variable x to the other side:

5x + 8y = 24        

 

 

6 0
3 years ago
B
Alenkinab [10]

Answers:  

hypotenuse = 20 feet

longer leg = 16 feet

======================================================

Explanation:

c = x = length of the hypotenuse

a = x-4 = length of one of the legs

b = 12 = length of the other leg

Use the pythagorean theorem

a^2 + b^2 = c^2

12^2 + (x-4)^2 = (x)^2

144 + x^2 - 8x + 16 = x^2

144 - 8x + 16 = 0 .... the x^2 terms cancel

160-8x = 0

160 = 8x

8x = 160

x = 160/8

x = 20 is the hypotenuse

x-4 = 20-4 = 16 is the longer leg

--------

Check:

12^2+16^2 = 144+256 = 400

20^2 = 400

Since 12^2+16^2 = 20^2 is true, this means we have a right triangle with legs of 12 and 16, while the hypotenuse is 20. The answer is confirmed.

6 0
2 years ago
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