Home
Class 12
MATHS
simplify (3x-y)^(2)-(2x-3y)^(2)...

simplify `(3x-y)^(2)-(2x-3y)^(2)`

Text Solution

Verified by Experts

Use `a^(2)-b^(2)=(a-b)(a+b)`
`(3y-y)^(2)-(2x-3y)^(2)=(3x-y+2x-3y)(3x-y-2x+3y)`
`=(5x-4y)(x+2y)`
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHS

    ALLEN |Exercise Exercise(O-1)|20 Videos

  • BASIC MATHS

    ALLEN |Exercise Exercise(S-1)|8 Videos

  • APPLICATION OF INTEGRALS

    ALLEN |Exercise All Questions|1 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    ALLEN |Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

Find the sum of x(x+y) + x^(2) (x^(2) + y^(2)) + x^(3) (x^(3) + y^(3))+ ……..to n terms

For which of the following, y can be a function of x, (x in R, y in R) ? {:((i) (x-h)^(2)+(y-k)^(2)=r^(2),(ii)y^(2)=4ax),((iii) x^(4)=y^(2),(iv) x^(6)=y^(3)),((v) 3y=(log x)^(2),""):}

Verify that x ^(3) + y ^(3) + z ^(3) - 3xyz =1/2 (x + y + z) [(x-y)^(2) + (y-z) ^(2) + (z-x) ^(2) ]

y = ae^(3x) + be^(-2x)

If (y^(3)-2x^(2)y)dx+(2xy^(2)-x^(3))dy=0, then the value of xysqrt(y^(2)-x^(2)), is

Verify (i) x ^(3) + y ^(3) = (x + y) (x ^(2) -xy + y ^(2)) (ii) x ^(3) -y ^(3) = (x-y) (x ^(2) +xy +y ^(2)) using some non-zone positive integers and check by actual multiplication. Can you call these as identities ?

Expand : (2x+3y)^(3)

2x-3y lt 6

Solve for x and y : (x, y ne 0) (10)/(2x+y)+(3)/(2x-y)=3, (15)/(2x+y)+(9)/(2x-y)=6

The differential equation of all conics whose centre lies at origin, is given by (a) (3xy_(2)+x^(2)y_(3))(y-xy_(1))=3xy_(2)(y-xy_(1)-x^(2)y_(2)) (b) (3xy_(1)+x^(2)y_(2))(y_(1)-xy_(3))=3xy_(1)(y-xy_(2)-x^(2)y_(3)) ( c ) (3xy_(2)+x^(2)y_(3))(y_(1)-xy)=3xy_(1)(y-xy_(1)-x^(2)y_(2)) (d) None of these