Math, asked by vanshika200609, 2 months ago

25x^2 + 250x + 15000 split the middle term ​

Answers

Answered by 12thpáìn
27

Appropriate Question

  • 25x² + 250x - 15000

Solution

{ \:  \:  \:  \:  \:  :   \:  \: \implies\sf 25x² + 250x - 15000}\\

  • Taking 25 Common

\\{ \:  \:  \:  \:  \:  :   \:  \: \implies\sf 25(x² + 10x - 600)}\\

  • By Using Splitting middle Term

\\{ \:  \:  \:  \:  \:  :   \:  \: \implies\sf 25(x² + 30x - 20x - 600)}

{ \:  \:  \:  \:  \:  :   \:  \: \implies\sf 25 \{x(x + 30) - 20(x  + 30) \}}

{ \:  \:  \:  \:  \:  :   \:  \: \implies\sf (25) (x + 30) (x  - 20) }\\\\\\

Hope it helpful

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