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3 years ago

Use the Binomial Theorem to expand each binomial (5x-4y)^3

1 answer:

5 0

You should know that:

(a+b)(a+b)(a+b)

=a(a+b)(a+b)+b(a+b)(a+b)

=a(a²+2ab+b²)+b(a²+2ab+b²)

=a³+2a²b+ab²+a²b+2ab²+b³

=a³+3a²b+3ab²+b³

-----------------

If a=5x and b=-4y

(5x+(-4y))³

=(5x-4y)³

=(5x)³+3(5x)²(-4y)+3(5x)(-4y)²+(-4y)³

=125x³+3(25x²)(-4y)+15x(16y²)-64y³

=125x³+75x²(-4y)+240xy²-64y³

=125x³-300x²y+240xy²-64y³

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A sequence is defined by the recursive function f(n 1) = f(n) – 2.if f(1) = 10, what is f(3)?16830

iogann1982 [59]

Hello,

f(n+1)=f(n)-2
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3 years ago

Read 2 more answers

the perimeter of an isosceles triangle in which the equal sides measures 12cm each and third side is 8cm_____. please show the w

KiRa [710]

Answer:

The perimeter of the isosceles triangle is 32 centimeters

Step-by-step explanation:

<em>The perimeter of any figure is </em><em>the sum of the lengths of outline sides</em>

Let us use this fact to solve our question

∵ The perimeter of the triangle is the sum of the lengths of its 3 sides

∵ The triangle is an isosceles triangle

∵ The length of each two equal sides is 12 centimeters

∵ The length of the third side is 8 centimeters

→ Add the lengths of the 3 sides

∴ The perimeter of the triangle = 12 + 12 + 8

∴ The perimeter of the triangle = 32 centimeters

∴ The perimeter of the isosceles triangle is 32 centimeters

8 0

3 years ago

Find the sum of the interior angle measures of the green polygon,

Radda [10]

Answer:

The sum of interior angles of given polygon is 900°

Step-by-step explanation:

A regular polygon is a n-sided figure with n sides and the length of all sides is same.

In the diagram, we have a polygon with 7 sides.

The formula given is used to calculate the sum of interior angles of a polygon

$Sum\ of\ interior\ angles = (n-2)*180$

Here n is the number of sides of polygon

In the given polygon

n = 7

So,

$Sum = (7-2)*180 = 5*180 = 900$

Hence,

The sum of interior angles of given polygon is 900°

7 0

3 years ago

Can you help me with this im confused

choli [55]

Answer:

The point slope is (0,1)

Step-by-step explanation:

7 0

3 years ago

Find the prime factorization for the number m (if possible) that makes each of the following true. If no number is possible, exp

SSSSS [86.1K]

Answer:

Is not possible to find a prime factorization for m.

Step-by-step explanation:

$2^3 . 19^5 . 23^4 = 2^3 . 19^5 . 46 . m$

then

$m=\frac{2^3. 19^5 . 23^4}{2^3 . 19^5 . 46 }=\frac{2^3. 19^5 . 23^4}{2^3 . 19^5 . 2.23 }=\frac{23^3}{2}$

So m is not an integer, hence it cannot be decomposed in prime factors.

3 0

3 years ago