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1 year ago

Factor out the following: -x^5+9x^3

Mathematics

2 answers:

blagie [28]1 year ago

7 0

Answer:

-x^3(x - 3)(x + 3).

Step-by-step explanation:

-x^5+9x^3

the greatest common factor = x^3 so we can write it as

x^3(-x^2 + 9)

= -x^3(x^2 - 9)

The expression in the parentheses is the difference of 2 squares so we have:

-x^3(x - 3)(x + 3) Answer.

rosijanka [135]1 year ago

4 0

Answer:

x^3(-x+3)(x+3)

Step-by-step explanation:

-x^5 + 9x^3

factor out x^3

x^3(-x^2+9)

9 and -x^2 are perfect squares so we can factor out a 3 and an x to get (-x+3)(x+3)

the fully factored form would be x^3(-x+3)(x+3)

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Answer:

Following are the solution to the question:

Step-by-step explanation:

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2 years ago

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2 years ago

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Find the distance between the points given. (0,5) and (-5,0)

galina1969 [7]

Answer:

5 $\sqrt{2}$

Step-by-step explanation:

Calculate the distance between the points using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (- 5, 0)

d = $\sqrt{(-5-0)^2+(0-5)^2}$

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= $\sqrt{25+25}$ = $\sqrt{50}$ = 5 $\sqrt{2}$ ← exact value

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3 years ago

What's (6+5i)(6-5i) using the foil method

I am Lyosha [343]

Answer:

Step-by-step explanation:

$Remember:\\(a+b)(a-b)=a^2-b^2\\\\(6+5i)(6-5i)=6^2-(5i)^2=36-(-1)*25=36+25=61\\$

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2 years ago

What property is used to change the sum of 18+6 to the equivalent expression 6(3+1)

Fittoniya [83]

The distributive property is used to get the equivalent expression

Step-by-step explanation:

The properties on mathematical expressions are used to simplify or elaborate the expressions.

One of the propoerties is distributive properties

The distributive property states that:

Let a, b and c be three integers then

a(b+c) = ab+ac

The property can be used both ways

In given expression

18+6

$= 6.3+ 6.1\\=6(3+1)$

The distributive property is used to get the equivalent expression

Keywords: Properties

Learn more about properties at:

#LearnwithBrainly

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2 years ago