Home
Class 9
MATHS
Use suitable identities to find the foll...

Use suitable identities to find the following products
(i) `(x +5) (x +2)`
(ii) `(x-5) (x-5)`
(iii)` (3x +3) (3x -2)`
(iv)` (x ^(2) + (1)/( x ^(2)) )(x ^(2) - (1)/( x ^(2)))`
(v) `(1+x) (1+x)`

Text Solution

Verified by Experts

The correct Answer is:
(i) `x ^(2) + 7x +10`
(ii) `x ^(2) -10x +25`
(iii) `9x ^(2) -4`
(iv) `x ^(4)- (1)/(x ^(4))`
(v) `1+ 2x +x ^(2)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • POLYNOMIALS AND FACTORISATION

    NCERT BANGLISH|Exercise THINK DISCUSS AND WRITE|4 Videos
  • POLYNOMIALS AND FACTORISATION

    NCERT BANGLISH|Exercise DO THESE|23 Videos
  • POLYNOMIALS AND FACTORISATION

    NCERT BANGLISH|Exercise EXERCISE 2.4|10 Videos
  • LINES AND ANGLES

    NCERT BANGLISH|Exercise THINK, DISCUSS AND WRITE|3 Videos
  • PROBABILITY

    NCERT BANGLISH|Exercise DO THIS|3 Videos

Similar Questions

Explore conceptually related problems

Find the domain and range of the following functions. (i) f(x)=sqrt(2x-3) " (ii) " f(x) =(1)/(x-2) (iii) f(x) =x^(2) +3 " (iv) " f(x)=(1)/(x^(2)+2)

Find zeroes of the following polynomials (i) 2x -3 (ii) x ^(2) - 5x +6 (iii) x +5

Write the coefficient of x ^(2) in each of the following br> (i) 15 - 3x + 2x ^(2) (ii) 1- x^(2) (iii) pi x ^(2) - 3x + 5 (iv) sqrt2 x ^(2) + 5x -1

Write the coefficient of x ^(3) in each of the following (i) x ^(3) + x +1 (ii) 2- x ^(3) + x ^(2) (iii) sqrt2 x ^(3) + 5 (iv) 2x ^(3) +5 (v) pi/2 x ^(3) +x (vi) - 2/3 x ^(3) (vii) 2x ^(2) +5 (viii) 4

Use the Factor Theorem to determine whether g (x) is factor of f(x) in each of the following cases: (i) f (x) = 5x ^(3) + x ^(2)-5x -1, g (x)=x +1 (ii) f (x) = x ^(3) + 3x ^(2) + 3x +1 , g(x) =x +1 (iii) f (x) =x ^(3) - 4x ^(2) +x + 6, g (x) =x -2 (iv) f (x) = 3x ^(3) - 20x + 12, g (x) = 3x -2 (v) f (x) = 4x ^(3) + 20 x ^(2) + 33 x +18, g (x) =2x +3

(x-3)(x-5)-(2a+1)/(a^(2))

Write the degree of each of the following polynomials (i) 7x ^(3) + 5x ^(2) + 2x -6 (ii) 7-x + 3x ^(2) (iii) 5p- sqrt3 (iv) 2 (v) - 5xy ^(2)

Determine which of the following polynomials has (x +1) as a factor. (i) x ^(3) -x ^(2) -x +1 (ii) x ^(4) - x ^(3) + x ^(2) -x +1 (iii) x ^(4) + 2x ^(3) + 2x ^(2) + x +1 (iv) x ^(3) -x ^(2) - (3- sqrt3) x + sqrt3

Evaluate lim_(xtooo) ((7x^(2)+1)/(5x^(2)-1))^((x^(5))/(1-x^(3))).

Solve the following : (i) |x-2|=(2-x) " (ii) " |x+3| = -x-3 (iii) |x^(2)-x|=x^(2)-x " (iv) " |x^(2)-x-2| =2+x-x^(2)