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kotykmax [81]
3 years ago
11

Factor completely 12a^3d^2 – 6ad^3

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0

Answer:

12a^3d^2-6ad^3

To factor an integer, we need to divide it by the ascending sequence of primes 2, 3, 5

In the end, the number of times each prime divides the original integer becomes its exponent.

Prime number 2  to the power of 2 equals 4 .

Prime number 3 to the power of 1 equals 3 .

2^{2} \times 3\times a^{3} \times b^{2} -(2\times3)ad^{3}

Result:-  6ad^2\left(2a^2-d\right)

<u>  OAmalOHopeO</u>

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Answer:

see explanation

Step-by-step explanation:

Using the double angle identity for sine

sin2x = 2sinxcosx

Consider left side

cos20°cos40°cos80°

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= \frac{1}{4sin20} (2sin40°cos40°)cos80°

= \frac{1}{4sin20} (sin80°cos80° )

= \frac{1}{8sin20} (2sin80°cos80° )

= \frac{1}{8sin20} . sin160°

= \frac{1}{8sin20} . sin(180 - 20)°

= \frac{1}{8sin20} . sin20°

= \frac{1}{8} = right side , thus proven

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Answer:

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\bf \bullet \textit{ vertical shift by }{{  D}}\\&#10;\left. \qquad  \right. if\ {{  D}}\textit{ is negative, downwards}\\\\&#10;\left. \qquad  \right. if\ {{  D}}\textit{ is positive, upwards}\\\\&#10;\bullet \textit{ period of }\frac{2\pi }{{{  B}}}

now, with that template in mind, let's see

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Answer:

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Which of these sets of ordered pairs would define a line with a positive slope?
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