2024 UPDATED!!! What is the simplified form of 3 over 4x plus 3 + 21 over 8 x squared plus 26x plus 15 ? a. 6(2x+5) / (2x-5)(4x+3) b. 6/(4x+3) c. 6(x+6)/ (2x-5)(4x+3) d. 6(x+6)/ (2x+5)(4x+3)

THIS USER ASKED 👇

What is the simplified form of 3 over 4x plus 3 + 21 over 8 x squared plus 26x plus 15 ? a. 6(2x+5) / (2x-5)(4x+3) b. 6/(4x+3) c. 6(x+6)/ (2x-5)(4x+3) d. 6(x+6)/ (2x+5)(4x+3)

THIS IS THE BEST ANSWER 👇

3 over 4x plus 3 + 21 over 8 x squared plus 26x plus 15 $frac {3} {4x + 3} + frac {21} {8x ^ 2 + 26x + 15}$

factor of the quadratic expression

⇒ $frac {3} {4x + 3} + frac {21} {8x ^ 2 + 20x + 6x + 15} = frac {3} {4x + 3} + frac {21} {4x (2x + 5 ) +3 (2x + 5)}$

= $frac {3} {4x + 3} + frac {21} {(2x + 5) (4x + 3)}$

Find an LCD, and do the same denominators by multiplying the first expression by (2x + 5) in both the numerator and the denominator

= $frac {3 (2x + 5)} {(4x + 3) (2x + 5)} + frac {21} {(2x + 5) (4x + 3)}$

Simpligh

= $frac {3 (2x + 5) +21} {(4x + 3) (2x + 5)}$

= $frac {6x + 15 +21} {(4x + 3) (2x + 5)}$

= $frac {6x + 36} {(4x + 3) (2x + 5)}$

Factor the numerator

= $frac {6 (x + 6)} {(4x + 3) (2x + 5)}$

Option D.

Additional menu

THIS USER ASKED 👇

THIS IS THE BEST ANSWER 👇

Reader Interactions

Leave a Reply Cancel reply