Question

$\sqrt{12} x^{2} y^{2} - \sqrt{27} x^{3} y^{3} + \sqrt{48} x^{2} y^{3} - \sqrt{75} x^{3} y^{2} =$
$\sqrt{96} x^{7} - \sqrt{150} x^{6} - \sqrt{54} x^{5}+ \sqrt{24} x^{4} - \sqrt{6} x^{3}$

Answer 1

=2√3x²y²-3√3x³y³+4√3x²y³-5√3x³y²=
=√3x²y²(2-3xy+4y-5x)=

=4√6x⁷-5√6x⁶-3√6x⁵+2√6x⁴-√6x³=
=√6x³(4x⁴-5x³-3x²+2x-1)

Answer 2

 √12x²y²-√27x³y³+√48x²y³-√75x³y²=
=2√3x²y²-3√3x³y³+4√3x²y³-5√3x³y²=
=√3x²y²(2-3xy+4y-5x)
√96x⁷-√150x⁶-√54x⁵+√24x⁴-√6x³=
=4√6x⁷-5√6x⁶-3√6x⁵+2√6x⁴-√6x³=
=√6x³(4x⁴-5x³-3x²+2x-1)