Which expression is equivalent to x^2+3x+3+[ (2x^2+13x+15) / (x+5) ]?

A) x^2+9x+9

B) x^2+5x+6

C) x^2+9x+48

D) x^2+5x+19

Question

Arabella Singleton

Mathematics

21 June, 12:01

Which expression is equivalent to x^2+3x+3+[ (2x^2+13x+15) / (x+5) ]?

A) x^2+9x+9

B) x^2+5x+6

C) x^2+9x+48

D) x^2+5x+19

+3

Answers (1)

Know the Answer?

Howe · Answer 1

B). x^2 + 5x + 6.

Step-by-step explanation:

x^2 + 3x+3 + [ (2x^2 + 13x + 15) / (x + 5) ]

= x^2 + 3x+3 + [ (2x^2 + 10x + 3x + 15) / (x + 5) ]

= x^2 + 3x+3 + [ (2x (x + 5) + 3 (x + 5) / (x + 5) ]

= x^2 + 3x+3 + [ (2x + 3) (x + 5) / (x + 5) ]

= x^2 + 3x + 3 + (2x + 3)

= x^2 + 5x + 6.

Which expression is equivalent to x^2+3x+3+[ (2x^2+13x+15) / (x+5) ]?A) x^2+9x+9B) x^2+5x+6C) x^2+9x+48D) x^2+5x+19

Which expression is equivalent to x^2+3x+3+[ (2x^2+13x+15) / (x+5) ]?

A) x^2+9x+9

B) x^2+5x+6

C) x^2+9x+48

D) x^2+5x+19