Page 105 - Grade 10 C.Math

pbfx/0f 5
2
2
3
d=;= lgsfNg'xf];\ M x + (a +b) x + ab / a + 2a x + ax 2
;dfwfg
2
3
oxfF, klxnf] cleJo~hs = x + (a +b) x + ab bf];|f] cleJo~hs = a + 2a x + ax 2
2
2
Curriculum Development Centre
2
= x + ax + bx + ab = a(a + 2ax + x )
2
= x(x + a) +b(x + a) = a(a + x) 2
= (x +a) (x + b) = a(x + a) (x + a)
d=;= = ;femf u'0fg v08
= (x + a)

pbfx/0f 6
2 2
4
2
3
3
4
3
d=;= lgsfNg'xf];\ M x + x y + y , x – y / x + x y + xy 2
;dfwfg
klxnf] cleJo~hs = x + x y + y 4
2 2
4
bf];|f] cleJo~hs = x – y 3
3
2 2
4
= x + (2-1) x y + y 4
= (x - y) (x + xy + y )
2
2
2 2
= (x ) + 2x y + (y ) - x y
2 2
2 2
2 2
t];|f] cleJo~hs = x + x y + xy 2
3
2
= (x + y ) - (xy) 2
2 2
2
= x(x + xy + y )
2
2
= (x + y + xy) (x + y - xy)
2
2
2
2
= (x + xy + y ) x – xy + y )
2
2
2
2
d=;= = (x + xy + y )
2
2
pbfx/0f 7
d=;= lgsfNg'xf];\ M x +1 + 2x + 2x, x - 1 / x + x +1
2
4
3
2
3
;dfwfg
3
2
oxfF, klxnf] cleJo~hs M x + 1 + 2x + 2x
2
= (x + 1) (x - x + 1) + 2x(x + 1)
2
= (x + 1) (x – x + 2x + 1)
= (x+1) (x + x + 1)
2
bf];|f] cleJo~hs = x - 1
3
= (x - 1) (x + x + 1)
2
102 ul0ft, sIff – 10