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Leni [432]
3 years ago
11

Simplify the following expression (-5x + 6x2) - (6x2 – 5x)

Mathematics
2 answers:
Nookie1986 [14]3 years ago
5 0

Answer:

0

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Distributive Property

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

(-5x + 6x²) - (6x² - 5x)

<u>Step 2: Simplify</u>

  1. [Distributive Property] Distribute negative:                                                    -5x + 6x² - 6x² + 5x
  2. [Subtraction] Combine like terms (x²):                                                             -5x + 5x
  3. [Addition] Combine like terms (x):                                                                   0
netineya [11]3 years ago
5 0

Answer:

❊ \large{ \tt{STEP - BY - STEP \: EXPLANATION}} :

♡ Firstly , Here are some of the questions & their answers which should be known before simplifying the given expression :

Q. Do I have to change the sign of each term of second expression while subtracting ?

Ans : Yep! While subtracting , sign of each term of the second expression changes whereas In addition , sign of each term in the expressions remains unchanged.

Q. What do you mean by Like terms & Unlike terms ?

Ans : Well , Like terms are those which have the same base whereas Unlike terms are those which have the different base [ For eg : In 4x , 2y , 3x & 4y , 4x & 3x are like terms and 2y and 4y are like terms ]. Also Remember : Only coefficients of like terms can be added or subtracted.

The Question / Answer part ends up here. Now , Let's get started for simplifying the given expression :

\large{ \bf{❊ \: ( - 5 {x}^{}  + 6 {x}^{2} ) - (6 {x }^{2}  - 5x)}}

\large{ \bf{ ↬ \: - 5x + 6 {x}^{2}  - 6 {x}^{2}  + 5x}}

\large{ \bf{↬ - 5x + 5x + 6 {x}^{2}  - 6 {x}^{2} }}

-Here , We can see the like terms with different signs. So, they cancel out each other.

\large{ \bf{↬ \:  \cancel{5x}  +  \cancel{5x}} +  \cancel{6 {x}^{2}} -  \cancel{6 {x}}^{2}  }

-We're left with nothing , So the answer would be ' 0 ' .

\boxed{ \large{ \bf{↬0}}}

\boxed{ \boxed {\large{ \tt{⟿ \: OUR\: FINAL \: ANSWER :  \boxed{ \underline{ \bf{0}}}}}}}

✺ Don't Give Up , The Beginning Is Always The Hardest! ♪

❃ Hope I helped! ツ

☃ Have a wonderful day / evening ! ☼

# StayInAndExplore ! ☂

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

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Read 2 more answers
Anthony has been saving nickels dimes quarters over the last year he knows that he has twice as many nickels as quarters. change
OLga [1]

Answer:

The number of nickel's coin is 150

The number of dime's coin is 35

The number of quarter's coin is 75

Step-by-step explanation:

Let

x ----> the number of nickel's coin

y ---> the number of dime's coin

z ---> the number of quarter's coin

Remember that

1\ nickel=\$0.05

1\ dime=\$0.10

1\ quarter=\$0.25

we know that

x+y+z=260 ----> equation A

0.05x+0.10y+0.25z=29.75 ----> equation B

x=2z ----> equation C

substitute equation C in equation A and equation B

2z+y+z=260

3z+y=260 ---> equation A1

0.05(2z)+0.10y+0.25z=29.75

0.35z+0.10y=29.75 -----> equation B1

Solve the system of equations A1 and B1 by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (75,35)

see the attached figure

so

z=75, y=35

<em>Find the value of x</em>

x=2(75)=150

therefore

The number of nickel's coin is 150

The number of dime's coin is 35

The number of quarter's coin is 75

8 0
3 years ago
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