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
krek1111 [17]
3 years ago
5

Is the following expression true or false? Show your work.

Mathematics
1 answer:
Paul [167]3 years ago
3 0

Answer: True

Solution:

Rearrange the equation to the LHS:

[x^2 + 8x + 16] · [x^2 – 8x + 16] - (x^2 – 16)^2 = 0

Factoring  x^2+8x+16

x^2 - 4x - 4x - 16

= (x-4)  •  (x-4)

= = (x+4)2

So now we have an equation

(x + 4)^2 • (x - 4)^2 -  (x^2 - 16)^2  = 0

Step 2: Evaluate the following:

(x+4)2   =    x^2+8x+16

(x-4)2   =    x^2-8x+16  

(x^2-16)2   =    x^4-32x^2+256

(x^2+8x+16)  (x^2-8x+16  ) -  (x^4-32x^2+256 )

0 = 0

Hence True

You might be interested in
The vertices of ABC are A(-2, 2), B(6,2), and CO, 8). The perimeter of ABC?
Alexxx [7]

Answer:

Perimeter = 22.809836694575                              

Step-by-step explanation:

A(-2, 2)  ;  B(6,2)  ;  C(0, 8)

AB=\sqrt{\left( 6--2\right)^{2}  +\left(2-2 \right)^{2}  } =\sqrt{64} =8

AC=\sqrt{\left( 0--2\right)^{2}  +\left(8-2 \right)^{2}  } =\sqrt{40} =2\sqrt{10}

BC=\sqrt{\left( 0-6\right)^{2}  +\left(8-2 \right)^{2}  } =\sqrt{72} =6\sqrt{2}

Then

The perimeter of ΔABC = AB + BC + AC

                                       =8+6\sqrt{2} +2\sqrt{10}

                                       = 22.809836694575

3 0
2 years ago
What is the answer to this equation : x+5=3x−1
Tresset [83]

Answer:    x = 3

Step-by-step explanation:

x+5 = 3x-1

+1           +1

x+6 = 3x

-x       -x

6 = 2x

/2     /2

3 = x

7 0
2 years ago
Read 2 more answers
Triangle XYZ is reflected across the x axis to Obtain triangle C1 Y1 Z1 . <br><br> Please Help
sammy [17]

Answer:

CAN U MAKE THE PICTURE BIGGER

Step-by-step explanation:

7 0
3 years ago
Abdul had some apples. He sold 40% of the apples buthe was left with 420 apples. How many apples did he have orriginally have.
SOVA2 [1]

Answer: 588

Step-by-step explanation: 420 + 40% = 588

4 0
3 years ago
A triangle has three angles of 36°, 34°, and 110°.<br> A. equilateral B. obtuse C. acute D. right
dem82 [27]
Obtuse because of the 110° angle
5 0
3 years ago
Read 2 more answers
Other questions:
  • What figure appears to be the image of figure h after a dilation by a scale factor of 1/2 and a rotation of 180 degrees?
    10·2 answers
  • How are discontinuities and zeros determined in a rational function
    14·1 answer
  • Margaret's bottle of shampoo is seven eights phone. She uses 1/3 of the shampoo in the bottle to wash the dog. Estimate what fra
    6·1 answer
  • What does a straight line on a distance time graph mean
    14·1 answer
  • Solve for x. large mathbf{frac{x + 2}{3} = -4} this isnt a multiple choice question im not good with questions like these
    6·1 answer
  • Nehal is a real estate developer, and he is designing a new neighborhood. The neighborhood will have four streets, each of which
    14·1 answer
  • If I think of a number halve it and subtract 2 results is 10.write equations and solve it please
    6·2 answers
  • How many sides do 4 pentagons and 3 nonagons have in all?
    5·1 answer
  • PLEASEEEE HELP MEEE I"LL GIVE U BRAINLEST!!
    8·1 answer
  • How do you factorise 2k + 10ak
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!