back to index
Factor polynomial $$ 15q^{5}r^{8}-15q^{5}r+15q^{2}r^{4}-45qr^{9} $$
Answer
$$ 15q^{5}r^{8}-15q^{5}r+15q^{2}r^{4}-45qr^{9} = 15qr(q^{4}r^{7}-q^{4}+qr^{3}-3r^{8}) $$
Explanation
Factor out common factor $ \color{blue}{ 15qr } $:
$$ 15q^5r^8-15q^5r+15q^2r^4-45qr^9 = 15qr ( q^4r^7-q^4+qr^3-3r^8 ) $$