Advertisements
Advertisements
प्रश्न
Factorize x2 - y2 - 4xz + 4z2
Advertisements
उत्तर
On rearranging the terms
= x2 - 4xz + 4z2 - y2
= (x)2 - 2 x x 2z + (2z )2 - y2
Using identity a2 - 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)
APPEARS IN
संबंधित प्रश्न
Factorize the following expressions:
( x + 2)3 + ( x - 2)3
Factorize the following expressions:
x6 + y6
Find the value of the following expression: 64x2 + 81y2 + 144xy, when x = 11 and \[y = \frac{4}{3}\]
Multiply: x2 + y2 + z2 − xy + xz + yz by x + y − z
The factors of x3 −x2y − xy2 + y3 are
Multiply: (2x - 3y)(2x - 3y)
Divide: 6x2 - xy - 35y2 by 2x - 5y
Write the coefficient of x2 and x in the following polynomials
`6 - 2x^2 + 3x^3 - sqrt(7)x`
Rohan’s mother gave him ₹ 3xy2 and his father gave him ₹ 5(xy2 + 2). Out of this total money he spent ₹ (10 – 3xy2) on his birthday party. How much money is left with him?
In the given figure, the length of a green side is given by g and that of the red side is given by p.
Write an expression for the following pattern. Also write an expression if 100 such shapes are joined together.
