Home
Class 9
MATHS
Factorize each of the following expressi...

Factorize each of the following expressions by splitting the middle term: `2(x+y)^2-9(x+y)-5`

Text Solution

Verified by Experts

`2(x+y)^2-9(x+y)-5`
Let `x+y=z`
`2z^2-9z-5`
Spitting the middle term:
`=2z^2-10z+z-5`
`=2z(z-5)+1(z-5)`
`=(z-5)(2z+1)`
Substituting the `x+y=z`:
`=(x+y-5)(2x+2y+1)`
`therefore 2(x+y)^2-9(x+y)-5=(x+y-5)(2x+2y+1)`
Promotional Banner

Topper's Solved these Questions

  • EXPONENTS OF REAL NUMBER

    RD SHARMA|Exercise All Questions|186 Videos

  • FACTORIZATION OF POLYNOMIAL

    RD SHARMA|Exercise All Questions|220 Videos

Similar Questions

Explore conceptually related problems

Factorize each of the following expressions by splitting the middle term: 9(x-2y)^(2)-4(x-2y)-13

Factorize each of the following expressions by splitting the middle term: 8(a+1)^(2)+2(a+1)(b+2)-15(b+2)^(2)

Factorize each of the following expressions: x(x+z)-y(y+z)

Factorize the following by splitting the middle term: 3x^(2)+19x+30

Factorize each of the following expressions: 25x^(2)-10x+1-36y^(2)

Factorise the polynomial x^(2)+7x+12 by splitting the middle term .

Factorize each of the following expressions: x^(12)-y^(12)( ii) x^(9)-y^(9)

Find the middle term of (3/2x-2/5y)^(10)

Factorize each of the following expressions: 3-12(a-b)^(2) (ii) x(x+z)-y(y+z)

Factorize each of the following expressions: x^(4)+y^(4)( ii) x^(4)+4x^(2)+3