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3 years ago

Factor by using the difference of two cubes

Mathematics

1 answer:

Nikolay [14]3 years ago

6 0

Answer:

Step-by-step explanation:

a) a^3-64b^3

=(a)^3-(4b)^3

=(a-4b)(a^2+4ab+16b^2)

b) 3x^3-81y^3z^6

=3(x^3-27y^3z^6)

=3{(x)^3-(3yz^2)^3}

=3(x-3yz^2)(x^2+3xyz^2+9y^2z^4)

c)16a^3b^3-54c^3d^3

=2(8a^3b^3-27c^3d^3)

=2{(2ab)^3-(3cd)^3

=2(2ab-3cd)(4a^2b^2+6abcd+9c^2d^2)

hope u got!!

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Large Number Calculations

pantera1 [17]

Answer:

19.2 kg

Step-by-step explanation:

Amount of Bananas consumed in US per year = 5.77 million metric tons

Since 1 million = $10^{6}$ and 1 metric ton = 1000 kg, we can write:

Amount of Bananas consumed in US per year = $5.77 \times 10^{6}$ metric tons

Amount of Bananas consumed in US per year = $5.77 \times 10^{6} \times 1000 = 5.77 \times 10^{9}$ kg

Number of people in US = 301 million = $301 \times 10^{6}= 3.01 \times 10^{8}$

We have to find how many kilograms of bananas are consumed per person in 1 year in US. For this we have to divide the total amount of bananas eaten in US per year with total number of people in US, which will be:

$\frac{5.77 \times 10^{9}}{3.01 \times 10^{8}} \\\\ = 19.2$

This means, 19.2 kilograms of bananas are eaten in US per person in a year.

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2 years ago

Russell sold 40 shares of a stock. The value of each share has decreased by $1 since he bought the stock. Express the amount Rus

lozanna [386]

Answer:

Integer = -40

Step-by-step explanation:

40 x -1

= -40

Therefore, -40 is the integer.

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2 years ago

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valkas [14]

Answer by JKismyhusbandbae: expression 2 and expression 1

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3 years ago

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Answer:

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Step-by-step explanation:

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