The factoring the equation (a + 1)² - 4b² we get (a+1+2b)(a+1-2b).
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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:
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Answer:
0.61 ( A )
Step-by-step explanation:
The standard proportion of Sugar, lemon juice and water needed to make a Lemonade is Usually 1 cup each
But If you Intend to make Your lemonade less sweet you can increase the water or reduce the amount of sugar to ≈ 1 ( i.e. less than 1 but approximately = 1 )
Hence The appropriate amount of sugar needed will be = 0.61
Answer:
The answer is B.
Step-by-step explanation:
So, there are 46,000 seats for a baseball game and 49,442 attended. You need to subtract 46,000 from 49,442 to get the answer that is 3,442.
The general form of a parabola when using the focus and directrix is:
(x - h)² = 4p(y - k) where (h, k) is the vertex of the parabola and 'p' is distance between vertex and the focus. We use this form due to the fact we can see the parabola will open up based on the directrix being below the focus. Remember that the parabola will hug the focus and run away from the directrix. The formula would be slightly different if the parabola was opening either left or right.
Given a focus of (-2,4) and a directrix of y = 0, we can assume the vertex of the parabola is exactly half way in between the focus and the directrix. The focus and vertex with be stacked one above the other, therefore the vertex will be (-2, 2) and the value of 'p' will be 2. We can now write the equation of the parabola:
(x + 2)² = 4(2)(y - 2)
(x + 2)² = 8(y - 2) Now you can solve this equation for y if you prefer solving for 'y' in terms of 'x'
Angle 1 equals angle 5. I think the theorem is Alternate interiors?
