Advertisements
Advertisements
प्रश्न
Factorize 2( x + y)2 - 9( x + y) - 5
उत्तर
Let x + y = z
= 2z2 - 9z - 5
Splitting the middle term,
= 2z2 -10z + z - 5
= 2z ( z - 5) +1( z - 5)
= ( z - 5)(2z +1)
Substituting z = x + y
= ( x + y - 5)(2 ( x + y ) +1)
= ( x + y - 5)(2x + 2 y +1)
∴ 2( x + y )2 - 9( x + y ) - 5 = ( x + y - 5)(2x + 2 y +1)
APPEARS IN
संबंधित प्रश्न
Factorize: x3 + x - 3x2 - 3
If x + y = 4 and xy = 2, find the value of x2 + y2
The factors of x2 + 4y2 + 4y − 4xy − 2x − 8 are
Evaluate: (4x2 - 4x + 1)(2x3 - 3x2 + 2)
Divide: 35a3 + 3a2b - 2ab2 by 5a - b
Write in the form of an algebraic expression:
Perimeter (P) of a rectangle is two times the sum of its length (l) and its breadth (b).
Solve the following equation.
4(x + 12) = 8
The largest number of the three consecutive numbers is x + 1, then the smallest number is ________
Write the variables, constant and terms of the following expression
b + 2
In the expression 2πr, the algebraic variable is ______.
