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enyata [817]
3 years ago
8

Does 4x^2-20x+25 equal (2x-5)^2?

Mathematics
2 answers:
Dmitry [639]3 years ago
8 0

Answer:

Step-by-step explanation:

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

= 4x² - 20x + 25

choli [55]3 years ago
6 0

Answer:

4x^2-20x+25 DOES equal (2x-5)^2.

Step-by-step explanation:

By factoring 4x^2-20x+25, we have:

4x^2-20x+25 = (2x - 5)(2x - 5) because of the order for this multiplication as FOIL, or first, outside, inside, and last.

Firstly, we take the first numbers 2x * 2x = 4x, so we put this down as

4x^2

We then take the outside numbers 2x * -5 = -10x and also put this down

4x^2 - 10x

We then take the inside numbers 2x * -5 = -10x again and put this down

4x^2 - 10x - 10x, or 4x^2 - 20x

We then take the last numbers -5 * -5 = +25 and put this down

4x^2 - 20 + 25

We now know that 4x^2 - 20 + 25 is equal to (2x - 5)(2x - 5), and

(2x - 5)(2x - 5) is equal to <u>(2x - 5)^2</u>.

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In rectangle MNOP, MO = 4x - 10 and NP = 2x + 4.<br> What is the length of a diagonal?
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18

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From the rectangle, M O = NP

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SInce MO and NP are the diagonal

Length of diagonal = 4x- 10

Length of diagonal = 4(7) - 10

Length of diagonal = 28 - 10

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hence the required length is 18

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The distances in a children’s traithlon are swimming 1/4 mile,running 3/4 mile,and biking 3/4 mile.What is the total length of t
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3 years ago
Choose the expression that represents a cubic expression<br> 2x + 11
Olin [163]

The correct answer is Option c which is the cubic expression is 4x³ − 3x² − 2x + 11

The correct question is as given below:-

Need help ASAP. Choose the expression that represents a cubic expression.

a. 2x + 11

b . −3x² − 2x + 11

c . 4x³ − 3x² − 2x + 11

d . 5x⁴ + 4x³ − 3x² − 2x + 11

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The polynomial having a degree of three is called the cubic polynomial which means that the maximum power of the polynomial will be three and the solutions will also be three.

Here in the option, we can see that the maximum power of the polynomial is three and it will have a maximum of three solutions.

The third-degree expression will be:-

E = 4x³ − 3x² − 2x + 11

Therefore the correct answer is Option c which is the cubic expression is 4x³ − 3x² − 2x + 11

To know more about Expression follow

brainly.com/question/723406

#SPJ1

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