All categories

2 years ago

Simplify: (ab + bc) (ab - bc)

Mathematics

1 answer:

yanalaym [24]2 years ago

6 0

$\: \: \: \:$

$= {a}^{2} \: {b}^{2} - {b}^{2} \: {c}^{2}$

Step-by-step explanation:

$(ab + bc)(ab - bc)$

use ( a + b ) ( a + b ) = a² - b² to simply the product

$(ab {)}^{2} - (bc {)}^{2}$

to raise a product to a power ,raise each factor to that power

$= {a}^{2} {b}^{2} - {b}^{2} {c}^{2}$

<h2>hope it helps</h2>

You might be interested in

What is the multiplication inverse or reciprocal of each number?

Degger [83]

Answer:

9/8

Step-by-step explanation:

Given the fraction a/b, the reciprocal is expressed as 1/(a/b) = b/a

For 1/4;

1/4

= 1÷1/4

= 1 * 4/1

= 4

Hence the reciprocal is 4

b) 8/9

= 1 ÷ 8/9

= 1 * 9/8

= 9/8

Hence the reciprocal of 8/9 is 9/8

8 0

2 years ago

I need to solve for the indicated pieces of the right triangle and round sides and angles to the nearest tenth also find What x

Troyanec [42]

Check the picture below.

Make sure your calculator is in Degree mode.

3 0

2 years ago

The value of K is:

aniked [119]

The answer is 48. This is because the opposite side which is 64 is just 32+32
Meaning k is 24+24

5 0

3 years ago

From the 12 players who will travel, the coach must select her starting line-up. She will select a player for each of the five p

gizmo_the_mogwai [7]

Answer:

990

Step-by-step explanation:

The center position can be selected in 3 different ways, the other 4 players can be selected in combinations of 11 players (the center is already selected) taken 4 at a time.

By the Fundamental Principle of Counting, there are

$3\displaystyle\binom{11}{4}=3*\displaystyle\frac{11!}{4!(11-4)!}=3*\displaystyle\frac{11!}{4!7!}=990$

ways for her to select the starting line-up.

7 0

3 years ago

What is the center of the circle for this equation: (x + 3)² + (y - 2)² = 25

Ksju [112]

The formula for the equation of a circle is (x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and r is the radius.

So we need to find the values of (h, k) in order to find the center of the circle.

If we simply line up the equation of our given circle with our formula,

we can see that -h = 3 or h = -3 and -k = -2 so k = 2.

So now we have our answer.

center ⇒ (-3, 2)

8 0

3 years ago

Simplify: (ab + bc) (ab - bc)​

Simplify: (ab + bc) (ab - bc)