Question

Answer 1

\(\sqrt{4a^2\left(a^2+2a+1\right)}=\sqrt{\left(2a\right)^2\left(a+1\right)^2}=2\left|a\right|.\left|a+1\right|=2a\left(a+1\right)\)

\(\sqrt{9a^2\left(4a^2+4a+1\right)}=\sqrt{\left(3a\right)^2\left(2a+1\right)^2}=3\left|a\right|.\left|2a+1\right|=3a\left(2a+1\right)\)

\(\sqrt{4a^2\left(9a^2-6a+1\right)}=\sqrt{\left(2a\right)^2\left(3a-1\right)^2}=2\left|a\right|.\left|3a-1\right|=2a\left(3a-1\right)\)

\(\sqrt{\left(4a^2-4a+1\right)\left(a^2-4a+4\right)}=\sqrt{\left(2a-1\right)^2\left(a-2\right)^2}=\left|2a-1\right|.\left|a-2\right|=\left(2a-1\right)\left(a-2\right)\)