The factoring the equation (a + 1)² - 4b² we get (a+1+2b)(a+1-2b).
<h3>
What is the factoring function of (a + 1)² - 4 b²?</h3>
Given: (a + 1)² - 4b²
Apply Perfect Square Formula, and we get
(a + b)² = a² + 2 a b + b²
(a + 1)² = a² + 2a1+1²
= a² + 2a1 + 1² - 4 b²
simplifying the equation, we get
a² + 2a1 + 1² = a² + 2a + 1
= a² + 2a + 1 - 4b²
Factor, a² + 2a + 1 = (a + 1)²
= (a + 1)² - 4 b²
Simplify 4 b² = (2 b)²
= (a + 1)² - (2b)²
Apply the Difference of Two Squares Formula, and we get
x² - y² = (x + y)(x - y)
(a + 1)² - (2b)² = ((a + 1) + 2b)((a + 1) - 2 b)
simplifying the equation, we get
= ((a + 1) + 2b)(a + 1) - 2 b)
= (a + 1 + 2b)(a + 1 - 2b)
Therefore, the correct answer is (a+1+2b)(a+1-2b).
To learn more about factoring refer to:
brainly.com/question/25829061
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Answer:
12
Step-by-step explanation:
Length=4
Width=6
Triangle area formula: Length*Width/2
So, 6*4/2
Equal to 6*2
Answer: 12
Your total bill would be 24.00. Split 3 ways, you would each pay 8.00. As 24 divided by 3 = 8.
It would be B. I had this same question.
Answer:
Arc length is ![\dfrac{3\pi }{4}\ \text{inches}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%5Cpi%20%7D%7B4%7D%5C%20%5Ctext%7Binches%7D)
Step-by-step explanation:
We have,
Central angle is 15 degrees and the radius of the circle measures 9 inches.
It is required to find the arc length of the sector.
The relation between arc length and the central angle is given by :
![\dfrac{\text{arc length}}{\text{circumference}}=\dfrac{\theta}{360}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7Barc%20length%7D%7D%7B%5Ctext%7Bcircumference%7D%7D%3D%5Cdfrac%7B%5Ctheta%7D%7B360%7D)
Circumference, ![C=2\pi r=18\pi](https://tex.z-dn.net/?f=C%3D2%5Cpi%20r%3D18%5Cpi)
![\theta=15^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D15%5E%7B%5Ccirc%7D)
![\dfrac{x}{18\pi }=\dfrac{15}{360}\\\\\dfrac{x}{18\pi }=\dfrac{1}{24}\\\\x=\dfrac{18\pi }{24}\\\\x=\dfrac{3\pi }{4}\ \text{inches}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B18%5Cpi%20%7D%3D%5Cdfrac%7B15%7D%7B360%7D%5C%5C%5C%5C%5Cdfrac%7Bx%7D%7B18%5Cpi%20%7D%3D%5Cdfrac%7B1%7D%7B24%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B18%5Cpi%20%7D%7B24%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B3%5Cpi%20%7D%7B4%7D%5C%20%5Ctext%7Binches%7D)
Hence, the correct option is (b).