Advertisements
Advertisements
Question
Factorize 2( x + y)2 - 9( x + y) - 5
Advertisements
Solution
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
RELATED QUESTIONS
Get the algebraic expression in the following case using variables, constants and arithmetic operations.
Sum of numbers a and b subtracted from their product.
Factorize the following expressions:
x4y4 - xy
Factorize x3 -12x ( x - 4) - 64
`(x/2 + y + z/3)^3 + (x/2 + (2y)/3 + z)^3 + (-(5x)/6 - y/3 - (4z)/3)^3`
If a + b + c = 0, then write the value of a3 + b3 + c3.
Evaluate: (6p2 - 8pq + 2q2) (- 5p)
Divide: 12a2 + ax - 6x2 by 3a - 2x
Construct a formula for the following:
Total wages (₹ W) of a man whose basic wage is (₹ B) for t hours week plus (₹ R) per hour, if he Works a total of T hours.
Solve the following equation.
4(x + 12) = 8
A triangle is made up of 2 red sticks and 1 blue sticks 
. The length of a red stick is given by r and that of a blue stick is given by b. Using this information, write an expression for the total length of sticks in the pattern given below:
