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3 years ago

Find the value of the missing coefficient in the factored form of 27f^3 + 125g^3. 27f^3+125g^3=(3f+5g)(9f^2-?fg + 25g)^2

Mathematics

1 answer:

7nadin3 [17]3 years ago

6 0

Answer:

Step-by-step explanation:

The formula for factoring a sum of cubes is:

$a^3+b^3=(a+b)(a^2-ab+b^2)$

We have a=3f and b=5g here.

So a*b in this case is 3f*5g=15fg.

The ? is 15.

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anygoal [31]

Answer:

$\sf y=7\frac{2}{3}$ and $\sf x = \frac{2}{3}$

Explanation:

$\sf (1) \ \ (2x+y = 9)$

$\sf (1) \ \ (2x+5y = 37)$

<u>solve for y</u>:

$\sf 2x + y = 9$

$\sf 2x + 5y = 37$

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$\sf 0x + 6y = 46$

$\sf 6y = 46$

$\sf y=\frac{23}{3}$

$\sf y=7\frac{2}{3}$

<u>solve for x</u>:

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2 years ago

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4 years ago

2. The cost of 5 pen is Rs 1200, find the cost of 1 pen.

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Step-by-step explanation:

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