4 years ago

If 2x-3y=10. and xy=16 find the value of8x³-27y³

Mathematics

1 answer:

andrew11 [14]4 years ago

7 0

Answer:

8x³-27y³=3880

Step-by-step explanation:

2x-3y=10

xy=16

8x³-27y³=?

as we know that

(a-b)³=a³-b³-3ab(a-b)

now we substitue the formula according to our question

(2x-3y)³=(2x)³-(3y)³-3(2x)(3y)(2x-3y)

(10)³=8x³-27y³-18(16)(10)

1000=8x³-27y³-2880

1000+2880=8x³-27y³

3880=8x³-27y³

You might be interested in

What is the greatest integer that is less than √6 + √7

lutik1710 [3]

Answer:

Step-by-step explanation:

hope this helps

4 0

3 years ago

Simplify 10 to the power of -3

Step2247 [10]

Answer:

Step-by-step explanation:

4 0

4 years ago

Which equation represents this statement?

OLEGan [10]

Answer:

Step-by-step explanation:

5 + 2x = 3x - 1

4 0

3 years ago

John has a map that shows a rectangular park 1 1/4 cm : 8 yd. on the map, the width of the park is 2 1/2 cm. What is the parks a

Ber [7]

Answer:

16 yd. This is the park's actual length.

Step-by-step explanation:

Write and solve an equation of ratios:

1 1/4 cm 8 yd

------------ = -----------

2 1/2 cm x

Note that 2(1 1/4 cm) = 2 1/2 cm, so the above equation becomes:

1 8 yd

----- = ---------

2 x

Solving for x, we get x = 16 yd. This is the park's actual length.

3 0

3 years ago

What is the answer of5.4x1,000,000,000 over 4.2x1,000,000?

Andrej [43]

I have answered your question in the image above I hope this helps.

4 0

3 years ago