El polinomio \( 25 x^{2}-36 y^{4} \) es el resultado del producto a. \( \quad\left(5 x+6 y^{2}\right)\left(5 x^{2}-6 y^{2}\right) \) b. \( \quad\left(5 x+6 y^{4}\right)\left(5 x-6 y^{4}\right) \) c. \( \quad\left(5 x+6 y^{2}\right)\left(5 x-6 y^{2}\right) \) d. \( \quad\left(5 x^{2}+6 y^{4}\right)\left(5 x^{2}-6 y^{4}\right) \)

Factorise fully \( 2 x^{2}+13 x+15 \)

Factorise fully the expression \( 7 t^{2}+2 t-9 \)

Identify the solutions of \( 3+4 \sqrt[3]{x^{2}-13}=-5 \). (1 point) \( \begin{array}{l}2 \sqrt{3},-2 \sqrt{3} \\ \sqrt{13},-\sqrt{13} \\ \sqrt{5},-\sqrt{5} \\ \sqrt{21},-\sqrt{21}\end{array} \)

1. Realiza las siguientes multiplicaciones. a. \( \frac{2}{3} x \cdot\left(6 x^{2}-5 x+\frac{1}{2}\right) \) b. \( 5 a \cdot\left(3 a^{2}-2 a b+7 b^{2}\right) \) c. \( (4 m-2 n)(3 m+9 n) \) d. \( (8 x-3)\left(x^{2}-5 x+6\right) \)

Simplify. \[ \frac{9 x^{5} y^{4}}{45 x^{4} y^{2}} \]