simplify 16×2m+1 - 4×2m/16×2m+2 - 2×2m+2
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2m− 2m
1=2
Dividing by 2
ividing by 2m− 4m1=1
ividing by 2m− 4m1=1square both sides,(m− 4m1) 2 ⇒m 2 + 16m1 − 21 =1
1 =1⇒m 2+ 16m 21=1+ 21 =23= 23
3 Then (m+ 4m1 ) 2=m 2 + 16m 21 +2×m× 41
1
1 ⇒(m+ 4m1) 2=23 + 21=2
2=23 + 21=2Then m+ 4m1 =2 m 2 − 16m 21 =(m+ 4m1 )(m− 4m1 )= 2 ×1= 2
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