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In the expression 30x? - 35x + 54x - 63 when the first two terms are grouped, and the last two terms are grouped, what is the common binomial factor?

Respuesta :

When the first two terms and the last two terms are grouped, the common binomial factor is 6x – 7

Data obtained from the question

  • 30x² – 35x + 54x – 63
  • Common factor =.?

How to determine the common factor

30x² – 35x + 54x – 63

Group the first two and the last two terms

(30x² – 35x) + (54x – 63)

Factorise

5x(6x – 7) + 9(6x – 7)

Common factor => 6x – 7

Therefore, we can conclude that the common binomial factor in the expression is 6x – 7

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