When using the binomial formula, which of the following is a correct step in the expansion of (x+y)^4 ?

1 answer:

7 0

Here is the expansion of (x + y)n for n = 0, 1,…, 5 :

(x + y)0 = 1
(x + y)1 = x + y 
(x + y)2 = x 2 +2xy + y 2 
(x + y)3 = x 3 +3x 2 y + 3xy 2 + y 3 
(x + y)4 = x 4 +4x 3 y + 6x 2 y 2 +4xy 3 + y 4 
(x + y)5 = x 5 +5x 4 y + 10x 3 y 2 +10x 2 y 3 +5xy 4 + y 5

hopefuly this helps you understand

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Sliva [168]

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3 years ago

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Which point is not on the graph represented by y=x^2+2x-4

Illusion [34]

$(-6,20) \\
x=-6 \\ y=20 \\ \Downarrow \\
20 \stackrel{?}{=} (-6)^2+2 \times (-6)-4 \\
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20 \stackrel{?}{=} 20 \\
20 = 20 \\
\hbox{the point is on the graph}$

$(-4,4) \\
x=-4 \\ y=4 \\ \Downarrow \\
4 \stackrel{?}{=} (-4)^2+2 \times (-4)-4 \\
4 \stackrel{?}{=} 16-8-4 \\
4 \stackrel{?}{=} 4 \\
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Both points are on the graph.

3 0

3 years ago

Asa received scores of 72, 97, and 82 on her last three math tests. she needs a mean test score of 82 to qualify for the math te

lara [203]

First step is to find what should be the required total of sum of Score after fourth test, to identify how much more or less she need to score in his fourth test.

Since Mean = (Sum of Scores)/number of test

using above formula we determine what is the required sum of score.

82 = (Sum of Scores)/4

⇒ 82 × 4 = 328

So in four test she should have score total as 328

So Score require in fourth test = Required Score Total - (total score in 3 tests)

= 328 - ( 72 + 97 + 82 ) = 77

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MakcuM [25]

If your asking to select all that apply,

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3 years ago

What is the sum of all values of m that satisfy 2m (squared) -16m+8=0?

vodomira [7]

<h2>Steps:</h2>

So for this, we will be completing the square to solve for m. Firstly, subtract 8 on both sides:

$2m^2-16m=-8$

Next, divide both sides by 2:

$m^2-8m=-4$

Next, we want to make the left side of the equation a perfect square. To find the constant of this perfect square, divide the m coefficient by 2, then square the quotient. In this case:

-8 ÷ 2 = -4, (-4)² = 16

Add 16 to both sides of the equation:

$m^2-8m+16=12$