thea81 thea81
  • 01-12-2018
  • Mathematics
contestada

Help me factorise (2x-1)^2-(3x+6)^2 . Please explain your answer too, thank you xx

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jimrgrant1 jimrgrant1
  • 01-12-2018

Answer:

- 5(x + 1)(x + 7)

Step-by-step explanation:

Expand the given factors in the expression

= 4x² - 4x + 1 - (9x² + 36x + 36 )

= 4x² - 4x + 1 - 9x² - 36x - 36 ( collect like terms )

= - 5x² - 40x - 35 ( factor out - 5 from each term )

= - 5(x² + 8x + 7) ( factor the quadratic )

= - 5(x + 1)(x + 7)


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