Question

What is the simplified form of the quantity of x plus 5, all over the quantity of 3x plus 4 + the quantity of x plus 4, all over the quantity of x plus 3?

the quantity of 2x plus 9, all over the quantity of 4x plus 7

the quantity of 4x squared plus 24x plus 31, all over the quantity of 3x squared plus 13x plus 12

the quantity of 4x squared plus 24x plus 31, all over the quantity of 4x plus 7

the quantity of 2x plus 9, all over the quantity of 3x squared plus 13x plus 12

Answer 1

(x + 5) / (3x + 4) + (x + 4) / (x + 3)

[(x + 5)(x + 3) + (x + 4)(3x + 4)] / (3x + 4)(x + 3)

(x² + 8x + 15 + 3x² + 16x + 16) / (3x² + 13x + 12)

(4x² + 24x + 31) / (3x² + 13² + 12)

The first option is correct.