Home
Class 9
MATHS
Find the value of x^3-8y^3-36 x y-216 , ...

Find the value of `x^3-8y^3-36 x y-216 ,` when `x=2y+6.`

Text Solution

Verified by Experts

`x^3−8y^3−36xy−216=x^3+(−2y)^3+(−6)^3−3(x)(−2y)(−6)`
`=(x−2y−6)(x^2+4y^2+36+2xy−12y+6x)`
`=0×(x^2+4y^2+36+2xy−12y+6x)`
`=0`
Promotional Banner

Topper's Solved these Questions

  • EXPONENTS OF REAL NUMBER

    RD SHARMA|Exercise All Questions|186 Videos
  • FACTORIZATION OF POLYNOMIAL

    RD SHARMA|Exercise All Questions|220 Videos

Similar Questions

Explore conceptually related problems

Find the value of x^(3)-8y^(3)-36xy-216 , when x=2y+6 .

Find the value of x^(3)-8y^(3)-36xy-216 when x=2y+6

Find the value of : (i) x^(3)+y^(3)-12xy+64 , when x+y=-4 (ii) x^(3)-8y^(3)-36xy-216 , when x=2y+6

Find the value of :(1)x^(3)+y^(3)-12xy+64 when x+y+4=0(2)x^(3)-8y^(3)-36xy+216 when x-2y+6=0

Find the value of 6x – 2y +8 , when x =5 and y=3 .

Find the value of 27x^(3)+8y^(3), if 3x+2y=14 and xy=83x+2y=20 and xy=(14)/(9)

Find the value of ( 8x + 6y ^(2)) div 2y.

Find the value of x+y , if 5x-2y=4 and x+8y=26 .