Page 104 - Grade 10 C.Math

pbfx/0f 2
3
2
3
d=;= lgsfNg'xf];\ M x + 2x + x / x – x
;dfwfg
3
2
3
oxfF, klxnf] cleJo~hs = x + 2x + x bf];|f] cleJo~hs = x – x
= x(x – 1)
2
Curriculum Development Centre
= x(x + 2x + 1)
2
= x(x + 1) (x – 1)
= x(x + 1) 2
= x(x+1) (x+1)
d=;= = ;femf u'0fg v08
= x( x + 1)

pbfx/0f 3

2
2
2
2
d=;= lgsfNg'xf];\ M x y – xy / x – 2x y + xy
3
;dfwfg
bf];|f] cleJo~hs = x – 2x y + xy 2
3
2
oxfF, klxnf] cleJo~hs = x y – xy
2
2
= x(x – 2xy + y )
2
2
= xy(x – y)
= x(x – y) 2
= x(x–y) (x–y)
d=;= = ;femf u'0fg v08
= x(x-y)
pbfx/0f 4
2
d=;= lgsfNg'xf];\ M x – y – 2y - 1 / x + 2xy + y - 1
2
2
2
;dfwfg
2
2
oxfF, klxnf] cleJo~hs = x – y – 2y – 1
2
= x – (y + 2y + 1)
2
2
bf];|f] cleJo~hs = x + 2xy + y – 1
2
2
= x –(y + 1) 2
= (x + y) – 1 2
2
= {x + (y + 1)} {x– (y + 1)}
= (x + y + 1) (x + y - 1)
= (x + y + 1) (x– y – 1)
d=;= = ;femf u'0fg v08
= (x + y + 1)
101 ul0ft, sIff – 10