All categories

3 years ago

Which of the following are the factors of 4b2 − 16?

Mathematics

2 answers:

slava [35]3 years ago

4 0

4b^2 - 16 =
4(b^2 - 4) =
4(b + 2)(b - 2)

Ede4ka [16]3 years ago

4 0

Answer:

$4(b+2)(b-2)$

Step-by-step explanation:

We have been given an expression and we are asked to find the factors of our given expression.

$4b^2-16$

First of all we will factor out 4 from our given expression.

$4(b^2-4)$

We can see that $b^2-4$ is difference of squares, so we can factor it using difference of squares formula: $a^2-b^2=(a+b)(a-b)$ .

$4(b^2-2^2)$

$4(b+2)(b-2)$

Therefore, the factored form of our given expression is $4(b+2)(b-2)$ .

You might be interested in

I DONT UNDERSTAND HELP <br> Find the values of the variables<br><br> (Simplify your answers )

SVETLANKA909090 [29]

Answer:

x=88 (alternative angles)

y=31 each

v=41 (alternative angles)

w=20 (alternative angles)

Step-by-step explanation:

for y:

we add all the angles got therefore,

20+41+88+y+20+41+88+y=360(because total angle in a quadilateral is 360°)

298+2y=360

2y=360-298

2y=62

therefore y=62/2=31° for each y

4 0

3 years ago

What is th difference in length between a 1 1/4 inch button and a 3/8 inch button

artcher [175]

Okay so 11/4 needs to be multiplied by 2 so that the D match up.

so 11/4 x 2 = 22/8

22/8 - 3/8 = 19/8

The difference is 19/8

8 0

3 years ago

[(2x)^x (2x)^2x]^1/x<br>how do you simplify this?

Monica [59]

Note that [ (2x)^x ]^(1/x) = 2x, and that [ (2x)^(2x) ]^(1/x) = (2x)^2 = 4x^2

Multiplying these 2 results together, we get (2x)(4x^2) = 8x^3 (answer)

5 0

3 years ago

A boy has 3 red , 2 yellow and 3 green marbles. In how many ways can the boy arrange the marbles in a line if: a) Marbles of the

Ilya [14]

Answer:

The total number of different arrangements is 560.

Step-by-step explanation:

A multiset is a collection of objects, just like a set, but can contain an object more than once.

The multiplicity of a particular type of object is the number of times objects of that type appear in a multiset.

Permutations of Multisets Theorem.

The number of ordered n-tuples (or permutations with repetition) on a collection or multiset of $n$ objects, where there are $k$ kinds of objects and object kind 1 occurs with multiplicity $n_1$ , object kind 2 occurs with multiplicity $n_2$ , ... , and object kind $k$ occurs with multiplicity $n_k$ is:

$\begin{equation*}\frac{n!}{n_1!*n_2!*\dots * n_k!}\end{equation*}$

We know that a boy has 3 red, 2 yellow and 3 green marbles. In this case we have n = 8.

If marbles of the same color are indistinguishable, then the total number of different arrangements is

${8 \choose 3, 2, 3} = \frac{8 !}{3 ! 2 ! 3 !} = \frac{8\cdot \:7\cdot \:6\cdot \:5\cdot \:4}{2!\cdot \:3!}=\frac{6720}{2!\cdot \:3!}=\frac{6720}{12}=560$