1) 46²-92*31+31²= 46²-2*46*31+31²=(46-31)²=15²=225
2)
[tex]\frac{38^{2} -17^{2} }{47^{2} -361} =\frac{(38-17)(38+17)}{47^{2} -19^{2} } =\frac{(38-17)(38+17)}{(47-19)(47+19) } =\frac{21*55}{28*66} =\frac{3*5}{4*6} =\frac{5}{8}[/tex]
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
1) 46²-92*31+31²= 46²-2*46*31+31²=(46-31)²=15²=225
2)
[tex]\frac{38^{2} -17^{2} }{47^{2} -361} =\frac{(38-17)(38+17)}{47^{2} -19^{2} } =\frac{(38-17)(38+17)}{(47-19)(47+19) } =\frac{21*55}{28*66} =\frac{3*5}{4*6} =\frac{5}{8}[/tex]