All categories

3 years ago

Factor (difference of squares) the binomial 25x^2-4 and find one of its factors

Mathematics

1 answer:

Lunna [17]3 years ago

6 0

Step-by-step explanation:

Hey, there!

Here,

Given that:

$= 25 {x}^{2} - 4$

we need to find factor,

As it is in a^2-b^2 form as per its factor (a+b) (a-b), keeping same formula here,

25x^2 means (5x)^2

and 4 means 2^2

Now, it would be,

$= ( {5x)}^{2} - {2}^{2}$

$= (5x + 2)(5x - 2)$

Therefore, it's factor would be (5x+2)(5x-2).

Hope it helps....

You might be interested in

Determine the whether the sum of 7/8 and 4/9 is closest to 0,1,2,or 3

elena55 [62]

Whenever you add fractions it means you need a common denominator. The quickest way to find this number is to multiply the two denominators together (in this case 8 and 9).
So your new fractions are 63/72 and 32/72. When you add those you get 95/72.
Next simply divide the two numbers to get a decimal, so here we get: 1.31944...
So this number is closer to 1
Hope that helps!!

8 0

3 years ago

How is basic math used in a business? Give me three examples.

anyanavicka [17]

Answer:

Understanding basic business math is necessary for profitable operations and accurate record keeping. Knowing how to add, subtract, multiply, divide, round and use percentages and fractions is the minimum you need to price your product and meet your budget.

4 0

3 years ago

How is interest similar to sales tax in markup

tekilochka [14]

Sales tax, interest, and markup is a raise in the money of a cost. Hope I helped: )

3 0

3 years ago

Solve the equation.

Ad libitum [116K]

Answer:

D. 13 1/2

Step-by-step explanation:

2/3 x -2 = 7

2/3 x -2 + 2 = 7 + 2

2/3 x = 9

x = 9 (3/2)

x = 27/2

x = 13 1/2

6 0

3 years ago

A standard interior staircase has steps each with a rise (height) of 21 cm and a run (horizontal depth) of 24 cm. Research sugge

Alisiya [41]

Answer:

The staircase would extends 1.20 m if the changes were made.

Step-by-step explanation:

Acording tho the statement the total heigth is 5.04 m, that is 504 cm, each steps rises 21 cm. with this information we can calculte how many steps are in the whole staircase:

$Number steps= \frac{Total heigth}{each step} \\Number steps= \frac{504}{21} = 24 steps$

To calculate how much the staircase will extend, whe have to multiply the horizontal depth times the number of steps.

using the run of 24 cm that gives us a lengt of 576 cm and if the changes were made the new length will be 696 cm.

So the staircase would extend an amount of (696 - 576), that is 120 cm, or 1.20 m, if the changes were made.

6 0

3 years ago