Answer:
(4x -5)(16x^2 +20x +25)
Step-by-step explanation:
The factoring of the difference of cubes is something you might want to memorize, or keep handy:
(a³ -b³) = (a -b)(a² +ab +b²)
Here, the minus sign in the middle tells you this is a difference. The power of x is a clue that this might be the difference of cubes. Your knowledge of cubes of small integers tells you ...
so you can recognize this as ...
(4x)³ - 5³ . . . . . the difference of cubes.
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Since you are familiar with the factorization above, you can easily write down the factoring of this expression using a=4x, b=5.
(4x -5)(16x² +20x +25)
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For "completeness", here is the factorization of the <em>sum of cubes</em>:
a³ +b³ = (a +b)(a² -ab +b²)
Note the linear factor (a +b) has the same sign as the sign between the cubes. The sign of the middle 2nd-degree term (ab) is opposite that.
Answer:
Step-by-step explanation:
Step 1. Calculate the volume of the room
V = lwh = 5 yd × 5 yd × 3 yd = 75 yd³
Step 2. Convert cubic yards to cubic feet
3 ft = 1 yd
Step 3. Convert cubic feet to cords
128 ft³ = 1 cord
Answer:
a
Step-by-step explanation:
Answer:
12.8767123288% so maybe 12.9
Step-by-step explanation:
Answer:
L Pie - $7.50
B Pie - $4.50
Step-by-step explanation:
Let's create equations with the given things:
1. Two lemon meringue pies cost $3 less than four blueberry pies.
2L - $3 = 4B
2. Three lemon meringue pies cost #9 more than three blueberry pies.
3L = $9+3B
3. Let's solve these 2 equations
1. -3(-4B+2L=-3)
2. 2(-3B+3L=9)
3. Adding these 2 equations:
12B-6L = 9 ----(1)
-6B+6L= 18 ----(2)
(1) + (2) => 6B=27
B=$4.50
4. 2L = 4(4.50) - 3
L= $7.50
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<u>Source: TutorEye</u>