Advertisements
Advertisements
प्रश्न
Factorize 2( x + y)2 - 9( x + y) - 5
Advertisements
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: a (a + b)3 - 3a2b (a + b)
Factorize `x^2 + 2sqrt3x - 24`
Factorize the following expressions:
x3 + 6x2 +12x +16
125 + 8x3 - 27 y3 + 90xy
If x − y = 7 and xy = 9, find the value of x2 + y2
Multiply: x2 + 4y2 + z3 + 2xy + xz − 2yz by x − 2y − z
Multiply: (3x - 5y + 2)(5x - 4y - 3)
The area of a rectangle is 6x2 – 4xy – 10y2 square unit and its length is 2x + 2y unit. Find its breadth.
Write the coefficient of x2 and x in the following polynomials
`sqrt(3)x^2 + sqrt(2)x + 0.5`
A taxi service charges ₹ 8 per km and levies a fixed charge of ₹ 50. Write an algebraic expression for the above situation, if the taxi is hired for x km.
