Home
Class 9
MATHS
Factorise (2x+3y)^(2)+14(2x+3y)(3x-y)-32...

Factorise `(2x+3y)^(2)+14(2x+3y)(3x-y)-32(3x-y)^(2)`.

Text Solution

AI Generated Solution

To factorise the expression \( (2x + 3y)^2 + 14(2x + 3y)(3x - y) - 32(3x - y)^2 \), we will follow these steps: ### Step 1: Substitute Variables Let: - \( a = 2x + 3y \) - \( b = 3x - y \) Now, we can rewrite the expression in terms of \( a \) and \( b \): ...
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Problems From NCERT/exemplar|18 Videos
  • POLYNOMIALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 2a|8 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 1- ( 2x- 3y ) ^(2)

Factorize: (3x-y)^(2)-(2x-3y)^(2)

Factorize: (2x+3y)^2-5(2x+3y)-14

Factorise : 4(x+y)^(2) - 3(x+y)

Factorise (2x- y)^(2) - 14 x + 7 y - 18

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

Factorise : 12(3x - 2y)^(2) - (3x - 2y)-1

Factorise: 4(2x-3y)^(2) - 8x + 12y -3

Factorise 3( 2x- y) ^(3) +9 ( 2x- y) ^(2)

Factorise : (x-2y)^(2) - 12(x-2y) + 32