" 23."32x^(4)-500x

Factorize the following expressions 32x^4-500x

[" 16.A ray travelling along the line "3x-4y=5" after being reflected from a line " "Y" travels along the line "],[5x+12y=13" .Then the equation of the line "'l" is "],[[" 1) "x+8y=0," 2) "x-8y=0," 3) "32x+4y+65=0," 4) "32x-4y+65=0]]

Show that (2x + 1) is a factor of the expression f(x) = 32x^(5) - 16x^(4) + 8x^(3) + 4x + 5 .

The equation of the image of the circle x^(2)+y^(2)+16x-24y+183=0 in the mirror 4x+7y+13=0 is x^(2)+y^(2)+32x-4y+235=0x^(2)+y^(2)+32x+4y-235=0x^(2)+y^(2)+32x-4y-235=0x^(2)+y^(2)+32x+4y-235=0x^(2)+y^(2)+32x+4y+235=0

The equatioin of the image of the circle x^(2)+y^(2)+016x-24y+183=0 in the line mirror 4x+7y+13=0 is: a.x^(2)+y^(2)+32x-4y+235=0 b.x^(2)+y^(2)+32x-4y-235=0cx^(2)+y^(2)+32x-4y-235=0dx^(2)+y^(2)+32x-4y-235=0dx^(2)+y^(2)+32x+4y+235=0

Factorize: x^(4)-y^(4) (ii) 16x^(4)-81x^(4)-(y+z)^(4)( iv )2x-32x^(5)3a^(4)-48b^(4)(vi)81x^(4)-121x^(2)

If f(x)= |{:(x-3,2x^(2)-18,3x^(3)-81),(x-5,2x^(2)-50,4x^(3)-500),(1,2,3):}| then f(1).f(3)+f(3).f(5)+f(5).f(1) is equal to :