Question

What is the simplified form of 3 over 2x plus 5 + 21 over 8 x squared plus 26x plus 15 ?

6 time the quantity 2 x plus 5 end quantity over the quantity 2x minus 5 end quantity times 4 x plus 3

6 over the quantity 4 x plus 3

6 time the quantity x plus 1 end quantity over the quantity 2x minus 5 end quantity times 4 x plus 3

6 time the quantity x plus 1 end quantity over the quantity 2x plus 5 end quantity times 4 x plus 3

Answer 1

6 / (4x + 3)

Explanation:

6 / (4x + 3)

Answer 2

The simplified form of 3 over 2x plus 5 + 21 over 8 x squared plus 26x plus 15 is 6 over the quantity 4 x plus 3.

The solution would be like this for this specific problem:( 3 /( 2x+5 )) + ( 21 / (8x^2 + 26x + 15))
= ( 3 /( 2x+5 )) + ( 21 / (8x^2 + 20x + 6x + 15))
= ( 3 /( 2x+5 )) + ( 21 / (4x(2x + 5) + 3(2x + 5))
= ( 3 /( 2x+5 )) + ( 21 /(2x + 5)(4x + 3)
= [ 3 (4x + 3) + 21 ] /(2x + 5)(4x + 3)
= [ 12x + 9 + 21 ] /(2x + 5)(4x + 3)
= [ 12x + 30 ] /(2x + 5)(4x + 3)
= 6(2x + 5) /(2x + 5)(4x + 3)
= 6 / (4x + 3)I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.