Answer:
We have to simplify the expression,quantity 6 x plus 9 over 15 x squared all over quantity 16 x minus 12 over 10 x to the fourth power.
[tex]=\frac{\frac{6 x+9}{15x^2}}{\frac{16 x-12}{10 x^4}}\\\\=\frac{6 x+9}{15x^2} \times \frac{10x^4}{16 x-12}}\\\\=\frac{3\times (2x+3)}{3 \times 5\times x\times x} \times \frac{5\times 2 \times x^2\times x^2}{4\times(4 x -3)}\\\\{\text{Cancelling terms from numerator and Denominator}}\\\\=\frac{x^2\times(2 x+3)}{2\times(4x-3)}\\\\=\frac{2x^3+3x^2}{8x-6}[/tex]
