Advertisements
Advertisements
प्रश्न
Factorize x( x - 2)( x - 4) + 4x - 8
Advertisements
उत्तर
= x ( x - 2)( x - 4) + 4 ( x - 2)
Taking ( x - 2) common in both terms
= ( x - 2){x ( x - 4) + 4}
= ( x - 2){x2 - 4x + 4}
Now splitting middle term of x2 - 4x + 4
= ( x - 2){x2 - 2x - 2x + 4}
= ( x - 2){x ( x - 2) - 2 ( x - 2)}
= ( x - 2){( x - 2)( x - 2)}
= ( x - 2)( x - 2)( x - 2)
= ( x - 2)3
∴ x ( x - 2)( x - 4) + 4x - 8 = ( x - 2)3
APPEARS IN
संबंधित प्रश्न
Get the algebraic expression in the following case using variables, constants and arithmetic operations.
Number 5 added to three times the product of numbers m and n.
Factorize: x3 + x - 3x2 - 3
Factorize x (x3 - y3 ) + 3xy ( x - y )
Factorize 4( x - y)2 -12( x - y)( x + y ) + 9(x + y )2
Factorize the following expressions:
a3 + b3 + a + b
The value of \[\frac{(2 . 3 )^3 - 0 . 027}{(2 . 3 )^2 + 0 . 69 + 0 . 09}\]
The factors of x4 + x2 + 25 are
Divide: 8a2 + 4a - 60 by 2a - 5
The solution of the equation `"3x" - 1/2 = 5/2 + "x"` is ______.
Which of the following statements about polynomials is correct?
