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2 years ago

Expand completely using the Binomial Theorem (3y - x)^4

Mathematics

1 answer:

AleksAgata [21]2 years ago

4 0

Answer:

In standard form it is x^4 - 12x^3y + 54x^2y^2 - 108x y^3 + 81y^4.

Step-by-step explanation:

(3y)^4 + 4C1(3y)^3(-x) + 4C2(3y)^2(-x)^2 + 4C3(3y)(-x)^3 + (-x)^4

= 81y^4 - 108y^3x + 54y^2x^2 - 12yx^3 + x^4

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Factor −1/4 out of −1/2x−5/4y. The factored expression is .

Olegator [25]

Answer:

(-1/4)(2x +5y)

Step-by-step explanation:

Multiply and divide by -1/4:

$-\frac{1}{2}x-\frac{5}{4}y=\dfrac{(-\frac{1}{4})(-\frac{1}{2}x-\frac{5}{4}y)}{-\frac{1}{4}}=\left(-\dfrac{1}{4}\right)(-4)\left(-\dfrac{1}{2}x-\dfrac{5}{4}y\right)\\\\=\left(-\dfrac{1}{4}\right)\left(2x+5y)$

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3 years ago

Which is an example of an expression?<br> O 3,2 – 4.<br> O a = 144<br> 0 10 = 2.5<br> O 2 < 52

cluponka [151]

Answer:

2 - 4

Step-by-step explanation:

no equal sign

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2 years ago

Solve the equation below

Agata [3.3K]

Set up the equation:

4(8.75x-2)=97
35x-8 =97
35x =97+8
35x =105
x. =3

The value of x is 3.

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2 years ago

Use the diagram of the right triangle above and round your answer to the nearest hundredth.

Yakvenalex [24]

Answer:

value of a = 6.93 m

hence , (b.)

Step-by-step explanation:

the given triangle is a right angled triangle, so

by using trigonometry.

=》

$\tan(a) = \tan(30) = \frac{1}{ \sqrt{3} }$

and we know,

=》

$\tan(a) = \frac{a}{b}$

so, by above values of tan ( a ) we get,

=》

$\frac{a}{b} = \frac{1}{ \sqrt{3} }$

=》

$\frac{a}{12} = \frac{1}{ \sqrt{3} }$

=》

$a = \frac{12}{ \sqrt{3} }$

=》

$a = 4 \sqrt{3}$

=》

$a = 6.93$

hence, a = 6.93 m

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3 years ago

Scientists measure a bacteria sample in a petri dish

zimovet [89]

Answer:

to grow bacterial cultures

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2 years ago