Home
Class 8
MATHS
Factorise the following expressions. (...

Factorise the following expressions.
(i) `p^2 + 6p +8` (ii) `q^2-10q+21` (iii) `p^2+6p-16`

Text Solution

Verified by Experts

Here the solution is:
In general, for factorizing an algebraic expression of the type `x2 + px + q`, we find two numbers a and b such that `ab = q` and `a + b = p`.
(i) `p2 + 6 p + 8`
It can be observed that,
`8 = 4 × 2 and 4 + 2 = 6`
...
Promotional Banner

Topper's Solved these Questions

  • FACTORISATION

    NCERT|Exercise EXERCISE 14.3|5 Videos

  • FACTORISATION

    NCERT|Exercise EXERCISE 14.4|21 Videos

  • FACTORISATION

    NCERT|Exercise SOLVED EXAMPLES|16 Videos

  • EXPONENTS AND POWERS

    NCERT|Exercise SOLVED EXAMPLES|9 Videos

  • INTRODUCTION TO GRAPHS

    NCERT|Exercise EXERCISE 15.2|4 Videos

Similar Questions

Explore conceptually related problems

Add the following expressions: p^2-q +r, q^2 -r+ p and r^2-p+q

Factoris the expression. 3pqr - 6p^(2) q ^(2) r ^(2) - 15 r ^(2)

Factorise the expressions and divide them as directed. (i) (y^2+7y+10) -: (y+5) (ii) (m^2-14m-32) -: (m+2) (iii) (5p^2-25p+20) -: (p-1) (iv) (4yz(z^2+6z-16) -: 2y (z+8) (v) 5pq(p^2-q^2) -: 2p(p+q) (vi) 12xy (9x62-16y^2) -: 4xy (3x+4y) (vii) 39y^3(50y^2-98) -: 26y^2(5y+7)

These questions are based on the following information. (i) ' P xx Q ' means 'P is brother of Q'. (ii) 'P div Q' means 'Q is mother of P'. (iii) 'P - Q' means 'P is father of Q'. (iv) 'P + Q' means 'Q is sister of P'. Which of the following means D is the grandfather of W?

Construst truth tables for the following statements : ~(p ^^-q) " "(ii) ~[(~p) vee(~q)] " "(iii) (p ^^q) ^^ (~p)

Let p : It is raining to-day and q : There is no light in this room. Give a single sentence, which describes the following : (i) p vvq (ii) p ^^ q (iii) ~ p (iv) ~ q ( v) ~ p or ~ q .