Home
Class 9
MATHS
Factorize: 8(x+y)^3-27\ (x-y)^3...

Factorize: `8(x+y)^3-27\ (x-y)^3`

Text Solution

AI Generated Solution

To factorize the expression \(8(x+y)^3 - 27(x-y)^3\), we will follow these steps: ### Step 1: Rewrite the expression in terms of cubes We can rewrite the expression as: \[ (2(x+y))^3 - (3(x-y))^3 \] This allows us to identify \(a = 2(x+y)\) and \(b = 3(x-y)\). ...
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

Factorize: a (x + y) +3 (x + y)

Factorize x(x-y)^3+3x^2y(x-y) .

Factorise (x+y)^(3)-27z^(3)

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

Factorize: 5(3x+y)^(2)+6(3x+y)-8

Factorize: x^(3)y^(3)+1

Factorize: (2x-3y)^(3)+(4z-2x)^(3)+(3y-4z)^(3)

Factorize: 8x^(3)y^(3)+27a^(3)

Factorize: 125+8x^(3)-27y^(3)+90xy

Factorize: x(x^(3)-y^(3))+3xy(x-y)