Home
Class 9
MATHS
Factorize: x^2-y^2-4x z+4z^2...

Factorize: `x^2-y^2-4x z+4z^2`

Text Solution

Verified by Experts

On rearranging the terms
= `x² - 4xz + 4z² - y²`
= `(x)² - 2x x 2z + (2z )² - y²`
Using identity `a^2 - 2ab + b² = (a - b)^2`
= `(x - 2z)² - y²`
Using identity `a² - b² = (a + b)(a - b)`
= `(x - 2z + y )(x - 2z - y)`
`:.x² - y² - 4xz + 4z² = (x - 2z + y )(x - 2z - 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: 4x^(2)-4xy+y^(2)-9z^(2) (ii) 16-x^(2)-2xy-y^(2)x^(4)-(x-z)^(4)

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

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

Factorization by taking out the common factors: x(x^(2)+y^(2)-z^(2))+y(-x^(2)-y^(2)+z^(2))-z(x^(2)+y^(2)-z^(2))

Factorize: ((x)/(2)+y+(z)/(3))^(3)+((x)/(3)-(2y)/(3)+z)^(3)+(-(5x)/(6)-(y)/(3)-(4z)/(3))^(3)