Answer:
(2x - 7)³ ≠ (2x)³- 7³
Step-by-step explanation:
(2x - 7)³= (2x)³- 7³
Use pascal's triangle to expand left side. Simplify all else.
(2x)³ + 3(2x)²(-7)¹ + 3(2x)¹(-7)² + (-7)³ = 8x³- 343
8x³ + 3(4x²)(-7) + 3(2x)(49) + (-7)³ = 8x³- 343
8x³ - 84x² + 294x - 343 = 8x³- 343
LS ≠ RS
Answer:
See below
Step-by-step explanation:
√160c⁵d⁴
= √160 * √c⁵ * √d⁴
= √16 * √10 * √c² * √c² * √c * √d² * √d²
= 4 * √10 * c * c * √c * d * d
= 4c²d²√10c
Selling price: 20,562.5
Discount: 2,937.5
<em>Denote x2 by y.
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<em>(x2-3)7=(y-3)7
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<em>This is a binomial expansion in y, and you want the coefficient of y4 because y4=x8
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<em>You have 7 terms of (y-3) in (y-3)7. To get the fourth power of y, you need to choose y from four of the terms. The number of ways you can do this is the combinations of 7 things taken 4 at a time. This is:
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<em>7!/(4!3!)=35</em>
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<em>So, the coefficient of x8 in the given expansion will be 210.</em>
<em>HOPE IT HELPS</em>
<em>THANK YOU </em>