" (i) "quad [27,2x+3y=7],[,a(x+y)-b(x-y)=3a+b-2]

2a(x+y)-3b(x+y)

For what values of a and b does the following pair of linear equations have infinite number of solution ? 2x+3y=7, a(x+y)-b(x-y)=3a+b-2

For what values of a and b does the following pair of linear equations have infinitely many solutions ? 2x + 3y = 7 a (x + y) - b (x - y) = 3a + b - 2

2x + 3y = 7& (a-b)x+ (a + b) y = 3a + b-2

Simplify : (i) (5x - 9y) - (-7x + y) (ii) (x^(2) -x) -(1)/(2)(x - 3 + 3x^(2)) (iii) [7 - 2x + 5y - (x -y)]-(5x + 3y -7) (iv) ((1)/(3)y^(2) - (4)/(7)y + 5) - ((2)/(7)y - (2)/(3)y^(2) + 2) - ((1)/(7)y - 3 + 2y^(2))

Factorize each of the following algebraic expressions: x^(3)(a-2b)+x^(2)(a-2b)2x-3y)(a+b)+(3x-2y)(a+b)4(x+y)(3a-b)+6(x+y)(2b-3a)

Factorize each of the following algebraic expressions: (i) x^3(a-2b)+x^2(a-2b) (ii)2x-3y)(a+b)+(3x-2y)(a+b) (iii)4\ (x+y)(3a-b)+6(x+y)(2b-3a)

Simplify : ( 3y ( x - y) - 2x ( y -2x))/( 7x ( x - y) - 3 ( x ^(2) - y ^(2)))

27x^3+8y^3=(3x+2y)…………..