Page 106 - Grade 10 C.Math

t];|f] cleJo~hs = x + x +1
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4
= x + (2 - 1) x + 1
4
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4
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2
= x + 2x - x + 1
= (x ) + 2.x .1 + 1 - x 2
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2
2 2
= (x + 1) - (x) 2
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2
= (x + 1 + x) (x + 1 - x)
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2
Curriculum Development Centre
= (x + x + 1) (x - x + 1)
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2
  d=;= = (x + x + 1)
pbfx/0f 8
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3
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2 2
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d=;= lgsfNg'xf];\ M 4x - 6x y + 9xy , 16x + 36x y + 81y / 8x + 27y 3
;dfwfg
oxfF, klxnf] cleJo~hs = 4x - 6x y + 9xy 2
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3
= x(4x - 6xy + 9y )
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2
bf];|f] cleJo~hs = 16x + 36x y + 81y 4
4
2 2
4
2 2
2 2
4
= 16x + 81y + 72x y - 36x y
= (4x + 9y ) - (6xy) 2
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2 2

= (4x + 9y + 6xy) (4x + 9y - 6xy)
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2
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2
= (4x + 6xy + 9y ) (4x - 6xy + 9y )
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t];|f] cleJo~hs = 8x + 27y 3
3
= (2x) + (3y) 3
3
= (2x + 3y) (4x - 6xy + 9y )
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2
 d=;= = (4x - 6xy + 9y )
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2
cEof; 8.1
d=;= lgsfNg'xf];\ M
(1) 3x + 9 / 5x + 15 (2) 4x + 16 / 5x + 20
(3) 5x + 30 / 3x + 18 (4) 6x + 18 / 4x + 12
(5) 7x + 28 / 9x + 36 (6) 3x + 6x + 3 / 4x + 8x + 4
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2
(7) y + 6y + 9y / 2y + 12y + 18y (8) x y + 2x y + xy / 2x + 4x y + 2xy 2
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2 2
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(9) x + 2x + x / x y + 2xy + y (10) 5x + 10x + 5 / 7x + 14x + 7x
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2
(11) x – xy / x y – 2xy + y (12) 7x + 14x y + 7xy / 3x – 3y 2
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(13) 11x – 44xy + 44y / 3x y – 12y (14) x – xy / x – y 2
(15) x(x + 2x + 1) / x y – xy (16) a – b – 2bc – c / a - 3ab(a -b) – b – c 3
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103 ul0ft, sIff – 10