Jika (p+q) : (p-q)=9:5,maka nilai dari (p²-q²) : (p²+2pq+q²)=..

[tex] \frac{p + q}{p - q} = \frac{9}{5} \\ \\ \frac{ p^{2} - q^{2} }{ p^{2} + 2pq + q^{2} } = \frac{(p + q)(p - q)}{(p + q)^{2}} \\ \\ = \frac{9 * 5}{9^{2}} \\ \\ = \frac{45}{81} \\ \\ = \frac{5}{9} [/tex]