Home
Class 8
MATHS
Factorize each of the following algebrai...

Factorize each of the following algebraic expressions:
`a^2+14 a+48`
(2) `x^2-4x-21`
(3)`y^2+5y-36`
(4) `(a^2-5a)^2-36`

Text Solution

Verified by Experts

By using mid-term splitting:
(1) `a^2+14 a+48`
`=a^2+8a+6a+48`
`=a(a+8)+6(a+8)`
`=(a+6)(a+8)`

(2) `x^2-4x-21`
`=x^2+3x-7x-21`
`=x(x+3)-7(x+3)`
`=(x-7)(x+3)`

(3) `y^2+5y-36`
`=y^2+9y-4y-36`
`=y(y+9)-4(y+9)`
`=(y-4)(y+9)`

(4) `(a^2-5a)^2-36`
`=(a^2-5a)^2-6^2`
`=(a^2-5a)^2-6^2`
`=(a^2-5a+6)(a^2-5a-6)`
Promotional Banner

Topper's Solved these Questions

  • DIVISION OF ALGEBRAIC EXPRESSIONS

    RD SHARMA|Exercise All Questions|61 Videos

  • INTRODUCTION TO GRAPHS

    RD SHARMA|Exercise All Questions|31 Videos

Similar Questions

Explore conceptually related problems

Factorize each of the following expressions: x^(2)+4x-21

Factorize each of the following algebraic expressions: x^(2)-4x+4y-y^(2)( ii) 3-12(a-b)^(2)

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

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

Factorize each of the following algebraic expressions: x^(2)+14x+45 (2) x^(2)-22x+120x^(2)-11x-42(4)a^(2)+2a-3

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

Factorize each of the following expressions: x^(4)+x^(2)+1 (ii) x^(4)+5x^(2)+9

Factorize each of the following algebraic expressions: x^(2)+12x-45(2)40+3x-x^(2)a^(2)+3a-88(4)a^(2)-14a-51

Factorize each of the following expressions: 54x^(6)y+2x^(3)y^(4),8x^(2)y^(3)-x^(5)

Factorize each of the following expressions: 9x^(2)-4y^(2)36x^(2)-12x+1-25y^(2)a^(2)-1+2x-x^(2)