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Hitman42 [59]
3 years ago
14

Expand and simplify

Mathematics
1 answer:
Blababa [14]3 years ago
3 0
<h2>Question:</h2>

→To simple the given equations

  • ( 2x + 1 ) + 5x
  • ( x + 3 ) ( x + 4 )
  • ( x + y ) ²
  • ( 2x + 1 ) ( x - 3 )
<h2 /><h2>Answer:</h2>

<h3>Part 1:</h3>

\green{step \: 1}

→3 ( 2x + 1 ) + 5x

\green{step \: 2}

→6x + 3 + 5x

\green{step \: 3}

→\blue{11x + 3✓}

<h3>part 2:</h3>

\green{step \: 1}

→( x + 3 ) ( x + 4 )

\green{step \: 2}

→{x}^{2}  + 4x + 3x + 12

\green{step \: 3}

→\blue{ {x}^{2}  + 7x + 12✓}

<h3>part 3:</h3>

\green{step \: 1}

→( x + y ) ^2

\green{step \: 2}

→\blue{{x}^{2}  +  {y}^{2}  + 2xy✓}

<h3>part 4:</h3>

\green{step \: 1}

→( 2x + 1 ) ( x - 3 )

\green{step \: 2}

→2 {x}^{2}  - 6x + x - 3

\green{step \: 3}

→\blue{2 {x}^{2}  - 5x - 3✓}

<u>★</u><u>What do you mean by simplifying an equation:</u>

  • Simplifying an evaluation means to solve any difficult or easy equation in as simple form as possible .

<u>★</u><u>Steps we can do to simplify the equation:</u>

  • Open brackets/parentheses to make the equation more simplified.

  • Add /subtract numbers or numbers with same variable/constant.

thankyou ❤️

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<h2><u>Problem Solving</u>:-</h2>

2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation which describes the relation.

<h2><u>Solution</u>:-</h2>

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\sf{\rightarrow{d =  kt}}

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9514 1404 393

Answer:

  1. 30m +50 = 20m +100
  2. m = 5
  3. yes. symmetric property of equality.

Step-by-step explanation:

1. The expression for c in the first equation is (30m+50). Substituting that for c in the equation ...

  c = 20m +100

gives you ...

  30m +50 = 20m +100

__

2. Adding -50-20m to both sides gives ...

  10m = 50

  m = 5 . . . . . . . divide by 10

__

3. Doing the substitution in reverse, you would substitute (20m+100) for c in the equation ...

  c = 30m +50

to get ...

  20m +100 = 30m +50

This is the equation of part 1 with the expressions swapped to the other side of the equal sign. The symmetric property of equality tells you that changing sides of the equal sign does not change the value of the variable(s).

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