Home
Class 9
MATHS
Factorise the following polynomials : (...

Factorise the following polynomials : `(i) x^(3)+x^(2) " " (ii) a^(3)bc+ab^(3)c-abc^(3) " " (iii)ab(x+y)+bx(x+y)` `(iv) 32(x+y)^(2)+2(x+y) " " (v) x(x-y)-z(y-x) " " (vi) (1-x)-(x-1)x` `(vii) 7(x+y)^(3)+14(x+y)^(2)+28(x+y)`

Text Solution

Verified by Experts

The correct Answer is:
`(i) x^(2)(x+1) " " (ii) abc(a^(2)+b^(2)-c^(2)) " " (iii) b(x+y)(a+x)`
`(iv) 2(x+y)(16x+16y+1) " " (v) (x-y)(x+z) " " (vi) (1-x)(1+x) " " (vii)7(x+y)[(x+y)^(2)+2(x+y)+4]`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • POLYNOMIALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 2 E|22 Videos
  • POLYNOMIALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (very Short Answer Questions)|10 Videos
  • POLYNOMIALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 2c|24 Videos
  • NUMBER SYSTEM

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (short Answer Questions)|10 Videos
  • PROBABILITY

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (very Short Answer /short Answer Questions)|10 Videos

Similar Questions

Explore conceptually related problems

Factorise the following : (i) 9a^(2)-b^(2) " " (ii) 81x^(3)-x " " (iii) x^(3)-49xy^(2) " " (iv) a^(2)-(b-c)^(2) (v) (x-y)^(3)-x+y " " (vi)x^(2)y^(2)+1-x^(2)-y^(2) " " (vii) 25(a+b)^(2)-49(a-b)^(2) " " (viii) xy^(5)-x^(5)y (ix) x^(8)-256 " " (x) x^(8)-81y^(8)

Find the degree of each of the following polynomials : (i) 3x^(4)-x^(2)+8 " " (ii) y^(2)-5y+7 " " (iii) 3x+4 " " (iv) 3 (v) x-2x^(2)+5x^(7) " " (vi) 2y^(2)-5y^(6)+1 " "(vii) x^(3)-1 " " (viii) 3x+5x^(5)+1

Factorise : (iv) (2x - y)^(3) - (2x - y)

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) (z^2+2)(z^2-3) (ii) (3x-4y)(2x-4y) (iii) (3x^2-4x y)(3x^2-3x y) (iv) (x+1/5)(x+5)

Find dervatives of the following functions: (i) y=2x^(3) , (ii) y=4/x , (iii) y=3e^(x) , (iv) y=6 ln x , (v) y=5 sin x

If (x^(2) + y^(2))/(x^(2) - y^(2)) = 2(1)/(8) , find : (i) (x)/(y) (ii) (x^(3) + y^(3))/(x^(3) - y^(3))

Write down the following in the product form: x^3y^4 (ii) 6x^7y (iii) 9x y^2z^2 (iv) 10 a^3b^3c^3

Write the following squares of binomials as trinomials: (x+(x^2)/2)^2 (ii) (x/4-y/3) (iii) (3x-1/(3x))^2 (iv) (x/y-y/x)^2

Find each of the following products: (i) (-5x y)xx(-3x^2y z) (ii) 1/2x y\ xx2/3x^2y z^2