" (ii) "(a^(3x+5))^(2)*(a^(x))^(4)=a^(8x+12)

Solve for x : (a^(3x+5))^(2) . (a^(x))^(4) = a^(8x+12).

Simplify and write the answer in the exponential form : (2^5-:2^8)^5x\ 2^(-5) (ii) (-4)^3x\ (5)^(-3)x\ (-5)^(-3) 1/8x\ 3^(-3)

List of the like terms in the following expression. (i) 4x^(4),-7x^(3),8x^(2),12x^(3),-9x^(4),-5x,4x^(3),12x^(2) (ii) 5xy,-3x^(2)y,2xy^(3),-2x^(2)y^(2),5x^(2)y,-3xy,6x^(2)y^(2)

Obtain the differential coefficient of the following : (i) (x-1) (2x+5) (ii) (9x^(3)-8x+7)(3x^(2)+5) (iii) 1/(2x+1) (iv) (3x+4)/(4x+5) (v) (x^(2))/(x^(3)+1)

Fill in the blanks :-4x(7)/(9)=(7)/(9)x (ii) (5)/(11)x(-3)/(8)=(-3)/(8)x(1)/(2)x((3)/(4)+(-5)/(12))=(1)/(2)x+dot x(-5)/(12)(-4)/(5)x((5)/(7)+(-8)/(9))=((-4)/(5)x)+(-4)/(5)x(-8)/(9)

(2x)/(5-3x)=(5+3x)/(8x)

Factorize following expressions (i) x^(2)+3x-40" (ii)"x^2-3x-40" (iii)"x^(2)+5x-14 (iv) x^2-3x-4" (v)"x^2-3x-40" (vi)"3x^2-10x+8 (vii) 12x^2-x-35" (viii)"3x^2-5x-2" (ix)"3x^2-7x+4 (x) 7x^2-8x+1" (xi)"2x^2-17x+26" (xii)"3a^2-7a-6 (xiii) 14a^2+a-3

The HCF of 45(2x^(4)-x^(3)-x^(2)) and 75(8x^(5)+x^(2)) is