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 the following expressions:
x3y3 + 1
Factorize the following expressions:
a12 + b12
The value of \[\frac{(0 . 013 )^3 + (0 . 007 )^3}{(0 . 013 )^2 - 0 . 013 \times 0 . 007 + (0 . 007 )^2}\] is
Separate the constants and variables from the following :
`-7,7+"x",7"x"+"yz",sqrt5,sqrt("xy"),(3"yz")/8,4.5"y"-3"x",`
8 −5, 8 − 5x, 8x −5y × p and 3y2z ÷ 4x
Multiply: (-2x + 3y)(2x - 3y)
Divide:
n2 − 2n + 1 by n − 1
Divide: x5 - 15x4 - 10x2 by -5x2
Write the coefficient of x2 and x in the following polynomials
`6 - 2x^2 + 3x^3 - sqrt(7)x`
If x = 2 and y = 3, then find the value of the following expressions
2x – 3y
An equation is true for all values of its variables.
