(5x - 2y)^3 Expand using Bionomial Theorum. Show steps, please.

Mathematics

1 answer:

tatyana61 [14]3 years ago

7 0

Answer:

125x³ − 150x²y + 60xy² − 8y³

Step-by-step explanation:

(5x − 2y)³

₃C₀ (5x)³ (-2y)⁰ + ₃C₁ (5x)² (-2y)¹ + ₃C₂ (5x)¹ (-2y)² + ₃C₃ (5x)⁰ (-2y)³

(1) (125x³) (1) + (3) (25x²) (-2y) + (3) (5x) (4y²) + (1) (1) (-8y³)

125x³ − 150x²y + 60xy² − 8y³

You might be interested in

Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.

Serggg [28]

Answer:

11.8

Step-by-step explanation:

Rounding 59.03 you get 59.
20% of 59 = 11.8
11.8 = the tip.

5 0

2 years ago

1 + 5 • 2 + ( 1 + 3)2

Sergeeva-Olga [200]

Answer:

1+5(2)+2(1+3)

1+10+2+6

=19

5 0

3 years ago

Read 2 more answers

Evaluate.<br> 25/5+7-(4x3)

navik [9.2K]

Using PEMDAS, we know that we must solve what’s in the perentheses first so: 25/5 + 7 - (4x3) = 25/5 + 7-12. Next, we simplify 25/5 because that is division so now it is 5+7-12. Now you add 7 to 5 to get 12 and then subtract 12 so your answer is now zero.

7 0

2 years ago

Since 201020102010, the town of Fall River has been experiencing a growth in population. The relationship between the elapsed ti

barxatty [35]

Answer:

48,558

Step-by-step explanation:

The function which models the relationship between the elapsed time, t in years, since 2010 and the town's population, P(t), is given as:

$P(t)=36800\cdot2^{^\dfrac{t}{25}}$