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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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Hope this helps :)

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Step-by-step explanation:

Since, y varies inversely as x.

\therefore \: y =  \frac{k}{x}  \\ (k = constant \: of \: proportionality) \\   \therefore \: xy =  k...(1) \\ plug \: y = 194 \:  \: and \:  \: x =  - 13 \: in \: (1) \\ \therefore \:  - 13 \times 194=  k \\ \therefore \: k =  - 2522 \\ substituting \: k =  - 2522 \: in \: (1) \\ xy =  - 2522...(2) \\ this \: is \: equation \: of \: variation. \\ plug \: x = 50 \: in \: (2) \\ 50 \times y =  - 2522 \\  \therefore \:y =  \frac{ - 2522}{50}  \\   \huge \red{ \boxed{\therefore \:y =   - 50.44}}

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3 years ago
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