Q. 34.2( 140 Votes )

Factorise.

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)

(ix)

Answer :

(i) ax2 + bx


Here common factor is x


ax2 + bx = x(ax + b)


(ii) 7p2 + 21q2


Here common factor is 7


7p2 + 21q2 = 7(p2 + 3q2)


(iii) 2x3 + 2xy2 + 2xz2


Here common factor is 2x


2x3 + 2xy2 + 2xz2 = 2x(x2 + y2 + z2)


(iv) am2 + bm2 + bn2 + an2


Here common factor is m2 in first two terms and n2 in the last two terms


am2 + bm2 + bn2 + an2 = m2(a + b) + n2(a + b)


am2 + bm2 + bn2 + an2 = (m2 + n2) + (a + b)


(v) (lm + l) + m + 1


On opening the bracket, we get


lm + l + m + 1


Here common factor is l in first two terms and 1 in the last two terms


lm + l + m + 1 = l(m + 1) + 1(m + 1)


lm + l + m + 1 = (l + 1) + (m + 1)


(vi) y(y + z) + 9(y + z)


In the brackets y + z is common,


(y + z) (9 + y) = (y + z)(y + 9)


(vii) 5y2 - 20y – 8z + 2yz


Taking 5y common in first two pairs and 2z in the last two terms


5y(y - 4)-2z(y - 4) = (y - 4)(5y – 2z)


(viii) 10ab + 4a + 5b + 2


Taking 2a common in first two pairs and 1 in the last two terms


10ab + 4a + 5b + 2 = 2a(5b + 2) + 1(5b + 2)


10ab + 4a + 5b + 2 = (5b + 2) + (2a + 1)



(ix) 6xy – 4y + 6 – 9x


Taking 2y common in first two pairs and -3 in the last two terms


6xy – 4y + 6 – 9x = 2y(3x - 2) - 3(3x - 2)

6xy – 4y + 6 – 9x = 2y(3x - 2) + 3(2 - 3x)

For taking (3x - 2) common, we will change the sign of second expression, we get,

6xy – 4y + 6 – 9x = 2y(3x - 2) - 3(3x - 2)

6xy – 4y + 6 – 9x = (3x - 2) + (2y - 3)

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Important Questions on FactorisationQuiz | Important Questions on FactorisationQuiz | Important Questions on Factorisation35 mins
Algebraic Identities - Mark your Weak AreasAlgebraic Identities - Mark your Weak AreasAlgebraic Identities - Mark your Weak Areas41 mins
Quiz | Questions on FactorizationQuiz | Questions on FactorizationQuiz | Questions on Factorization41 mins
Champ Quiz | Division of PolynomialsChamp Quiz | Division of PolynomialsChamp Quiz | Division of Polynomials33 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

ab - a - b + 1 = ?

RS Aggarwal - Mathematics

Factorize:

x2 + x – 132

RS Aggarwal - Mathematics

2x2 + 5x + 3=?

RS Aggarwal - Mathematics

6a2 – 13a + 6=?

RS Aggarwal - Mathematics