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Lady bird [3.3K]
3 years ago
11

Factor the expression 8q^6r^3+27s^6t^3

Mathematics
2 answers:
OverLord2011 [107]3 years ago
7 0

Find the coordinates of p so that p partitions AB in the ratio 1 to 3 with a(-5,4) and(7,-4) Step-by-step explanation:


Korolek [52]3 years ago
3 0

8q^6r^3+27s^6t^3

this is the sum of cubes:  a^ 3 + b^ 3 = (a + b) (a^ 2 − a b + b^ 2 )

where a = 2q^2r and b=3s^2t

(2 q^2 r + 3 s^2 t) (4 q^4 r^2 - 6 q^2 r s^2 t + 9 s^4 t^2)

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Answer:

<h2>1. x = 4</h2><h2>2. x = 20</h2>

Step-by-step explanation:

1.

ΔABC and ΔAJK are similar (AA). Therefore the sides are in proportion:

\dfrac{AC}{AJ}=\dfrac{AB}{AK}

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\dfrac{VU}{VM}=\dfrac{VT}{VN}

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Substitute:

\dfrac{x+8}{x}=\dfrac{49}{35}              <em>cross multiply</em>

35(x+8)=49x          <em>use the distributive property a(c + b) = ab + ac</em>

35x+280=49x              <em>subtract 35x from both sides</em>

280=14x         <em>divide both sides by 14</em>

20=x\to x=20

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