Question

Write the following polynomial in factorised form (30a^3 b + 9a^2 b), (108 p^2 q^3 + 72pq), (28x^3 + 35x^2 y^2), (15p + 27p^2 q^2)

Answer 1

$$\begin{gathered} \left(1\right). \\ 30{\mathrm{a}}^3\mathrm{b}+9{\mathrm{a}}^2\mathrm{b} \\ =3{\mathrm{a}}^2\mathrm{b}\left(10\mathrm{a}+3\right) \\ \left(2\right). \\ 108{\mathrm{p}}^2{\mathrm{q}}^3+72\mathrm{pq} \\ =36\mathrm{pq}\left(3{\mathrm{pq}}^2+2\right) \\ \left(3\right). \\ 28{\mathrm{x}}^3+35{\mathrm{x}}^2{\mathrm{y}}^2 \\ =7{\mathrm{x}}^2\left(4\mathrm{x}+5{\mathrm{y}}^2\right) \\ \left(4\right). \\ 15\mathrm{p}+27{\mathrm{p}}^2{\mathrm{q}}^2 \\ =3\mathrm{p}\left(5+9{\mathrm{pq}}^2\right) \end{gathered}$$