1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Harman [31]
2 years ago
14

Factor the expression. q²r+ blank s^2t)(blankq^4r^2-6q^2rs^2t+blanks^4t^2​

Mathematics
1 answer:
rodikova [14]2 years ago
6 0

The equivalent expression of (q² − r²s) (q⁴ + q²r²s + r⁴s²) is  q⁶  - r⁶s³

<h3>How to factor the expression?</h3>

The expression is given as:

(q² − r²s) (q⁴ + q²r²s + r⁴s²)

Expand the expression

(q² − r²s) (q⁴ + q²r²s + r⁴s²) =  q²(q⁴ + q²r²s + r⁴s²) − r²s(q⁴ + q²r²s + r⁴s²)

Open the brackets

(q² − r²s) (q⁴ + q²r²s + r⁴s²) =  q⁶ + q⁴r²s + q²r⁴s² -q⁴r²s - q²r⁴s² - r⁶s³

Evaluate the like terms

(q² − r²s) (q⁴ + q²r²s + r⁴s²) =  q⁶  - r⁶s³

Hence, the equivalent expression of (q² − r²s) (q⁴ + q²r²s + r⁴s²) is  q⁶  - r⁶s³

Read more about expressions at:

brainly.com/question/11994062

#SPJ1

<h3>Complete question</h3>

Factor the expression. (q² − r²s) (q⁴ + q²r²s + r⁴s²)

You might be interested in
Please helllppp . . . only give answer if you are 100% sure it's correct please!!
SOVA2 [1]

Condene the logarithms on the left side by applying the property, ln(<em>a</em>) - ln(<em>b</em>) = ln(<em>a</em> / <em>b</em>):

ln(<em>x</em> - 2) - ln(<em>x</em> - 3) = 1

→   ln((<em>x</em> - 2) / (<em>x</em> - 3)) = 1

Now take the exponential of both sides:

exp(ln((<em>x</em> - 2) / (<em>x</em> - 3))) = exp(1)

(<em>x</em> - 2) / (<em>x</em> - 3) = <em>e</em>

Solve for <em>x</em> :

<em>x</em> - 2 = <em>e</em> (<em>x</em> - 3)

<em>x</em> - 2 = <em>e x</em> - 3<em>e</em>

<em>x</em> - <em>e x</em> = 2 - 3<em>e</em>

(1 - <em>e</em>) <em>x</em> = 2 - 3<em>e</em>

<em>x</em> = (2 - 3<em>e</em>) / (1 - <em>e</em>) ≈ 3.582

4 0
2 years ago
X + 4(x-1) = 9-2(x+3)
Genrish500 [490]
Collect like terms
x + 4x - 4 = 9 - 2 x - 6
move the terms
5x - 4 = 3 - 2x
collect like terms calculate
5x + 2x = 3 + 4
7x = 7
answer is x = 1
3 0
2 years ago
A sign is hammered into a tree 2m from the trees base. if the tree is 10m tall and elongates 1m each year, how high will the sig
dlinn [17]
12m ?.......................
6 0
3 years ago
If 6-x=2(x-6) what is the value of x? need steps!!
V125BC [204]
6 - x = 2(x - 6)

the first step, following PEMDAS, is to distribute the 2 to the inside of your parentheses:
6 - x = 2x - 12 ... subtract 2x
6 - 3x = -12 ... subtract 6
-3x = -18 ... divide by -3
x = 6 is the answer
8 0
3 years ago
Read 2 more answers
What is the product of 41 and 8.4 x 10^4 expressed in scientific notation?​
LenaWriter [7]

Answer:

3.44 x 10^6

Step-by-step explanation:

41 x 8.4 = 344.4

344.4 x 10^4 = 3.44 x 10^4+2

6 0
2 years ago
Other questions:
  • Help, i'll give you brainliest
    5·2 answers
  • The voltage in an electrical circuit is multiplied by itself each time it is reduced. The voltage is 27/125 of a volt and has be
    5·1 answer
  • Bryan started to evaluate a decimal expression. 2.5(42 ÷ 3.2 – 10(0.2) + 3)– 5.2 2.5(16 ÷ 3.2 – 10(0.2) + 3) – 5.2 What should B
    5·2 answers
  • 712 ÷ 74 is equal to _____.
    13·2 answers
  • Solve the following equation in your notebook. Then place the correct number in the box provided.
    7·1 answer
  • Please help!! Select the values for the domain &amp; range of the function given below.
    15·1 answer
  • What is the area of LMN
    8·2 answers
  • When sandy and allen's mother decorates the house by herself, it takes her 5 hours.When both Sandy and Allen help, the three can
    11·1 answer
  • Which expression is equivalent to the expression below?
    12·2 answers
  • Jayden buys a canoe with 75% off if the original price $72 how much does Jayden pay
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!