You should know that:
(a+b)(a+b)(a+b)
=a(a+b)(a+b)+b(a+b)(a+b)
=a(a²+2ab+b²)+b(a²+2ab+b²)
=a³+2a²b+ab²+a²b+2ab²+b³
=a³+3a²b+3ab²+b³
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If a=5x and b=-4y
(5x+(-4y))³
=(5x-4y)³
=(5x)³+3(5x)²(-4y)+3(5x)(-4y)²+(-4y)³
=125x³+3(25x²)(-4y)+15x(16y²)-64y³
=125x³+75x²(-4y)+240xy²-64y³
=125x³-300x²y+240xy²-64y³
Answer:
Step-by-step explanation:
1 Us pint = 16 Us fluid ounces
It means that 8 pints of water would be
8 × 16 = 128 fluid ounces
Each batch of lemonade uses 24 fluid ounces of lemon juice and 8 pints of water. The total number of fluid ounces in each batch is
128 + 24 = 152 fluid ounces
Also,
1 fluid ounce = 0.125 Us cups
Therefore, the number of cups made is
152 × 0.125 = 19 cups
If each serving is 1 cup, then the number of servings that she made from each batch of lemonade is 19
servings. The number of batches made is 6. Therefore, the number of servings made altogether is
6 × 19 = 114
If her brother came and spilled half of it on the floor, then the number of servings that she have left after that for her party is
114/2 = 57 servings
The diameter of the circle is 18 cm.
The radius is one half the diameter.
Therefore the radius is 18/2 = 9 cm
Answer: 9 cm
So first what you want to do is take 98 and subtract it by 48. Which gives us 50. Now what we do is that since we are finding two numbers we would have to divide that by half, which would give us 25. Both of them are now equal. To find the number that makes that difference, we need to add 48 to one of the 25 values. Which would be 73. Meaning that the two numbers are 73 and 25. They both add up to 98 and 73 has a difference of 48 from 25.