(iii) (3x+4)(3x-5)

Find the following products: (i) (x+2)(x+3) (ii) (x+7)(x-2) (iii) y-4)(y-3) (iv) (y-7)(y+3) (vi) (2x-3)(2x+5) (vii) (3x+4)(3x-5)

Find the following products: (i) (y^2-4)(y^2-3) (ii) (x+4/3)(x+3/4) (iii) (3x+5)(3x+11) (iv) (2x^2-3)(2x^2+5)

Using componendo and dividendo, find the value of x if (sqrt(3x+4)+sqrt(3x-5))/(sqrt(3x+4)-sqrt(3x-5))=9 .

lim_(x to 0) ((2x-3)(3x-4))/((4x-5)(5x -6))

" Solve : (3x)/(4)-(2x+5)/(3)=(5)/(2)

Identify constant, linear, quadratic and cubic polynomials from the following polynomials: q(x)=4x+3 (ii) r(x)=3x^3+4x^2+5x-7

Which of the following are polynomials : (i) 3x^(2)-7x+6 " " (ii) x^(2)-sqrt(3)x+4 " " (iii) 3sqrt(x)+5 " " (iv) 13 " " (v) a+(5)/(a)+6

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

Find the values of x, if (i) |{:(2,4),(5,1):}|=|{:(2x,4),(6,x):}| (ii) |{:(2,3),(4,5):}|=|{:(x,3),(2x,5):}|

Solve each of the following equations and also check your result in each case: (3a-2)/3+(2a+3)/2=a+7/6 (2) x-((x-1))/2=1-((x-2))/3 (3) x/4-((x-1))/2=((x-2))/3 (4) (5x)/3-((x-1))/4=((x-3))/5