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3 years ago

Use Pascal's Triangle to expand the binomial (3x-4)^3 HELP PLEASEEEE

Mathematics

1 answer:

mario62 [17]3 years ago

6 0

Answer:

Option B

27x³ – 108x² + 144x – 64

Step-by-step explanation:

(3x – 4)³

(3x – 4) × (3x – 4) × (3x – 4)

(9x² – 12x – 12x + 16) × (3x – 4)

(9x² – 24x + 16) × (3x – 4)

27x³ – 36x² – 72x² + 96x + 48x – 64

27x³ – 108x² + 144x – 64

Thus, The answer is 27x³ – 108x² + 144x – 64

<u>-TheUnknownScientist 72</u>

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Naddika [18.5K]

The answers to these are:

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3 years ago

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nydimaria [60]

Answer:

Step-by-step explanation:

Volume of triangular prism = Base Area × length of prism

Base area = ½*base*height

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3 years ago

One positive number is 9 more than twice another. If their product is 95, find the numbers.

mafiozo [28]

Answer:

The numbers are 19 and 5

Step-by-step explanation:

Given

Let the numbers be $x\ and\ y.$

So:

$x = 9 + 2y$ --- First statement

$x*y = 95$ --- second statement

Required

Find x and y

Substitute $x = 9 + 2y$ in $x*y = 95$

$(9 + 2y) * y = 95$

$9y + 2y^2 = 95$

Rewrite as:

$2y^2 + 9y - 95 = 0$

Expand

$2y^2 -10y +19y- 95 = 0$

Factorize

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$(2y +19)(y- 5) = 0$

Solve for y

$2y + 19 =0$ or $y - 5 = 0$

$2y = -19$ or $y = 5$

$y = -\frac{19}{2}$ or $y=5$

Since the numbers are positive, we take only:

$y=5$

Substitute $y=5$ in $x = 9 + 2y$

$x = 9 + 2 * 5$

$x = 9 + 10$

$x = 19$

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