SChand CLASS 9 Chapter 4 Factorisation Exercise 4(A)

 Exercise 4(A)

Question 1

8x+16y

Sol :

=8(x+2y)

Question 2

ax-2ay

Sol :

=a(x-2y)

Question 3

25xy-50y

Sol :

=25y(x-2y)

Question 4

abc-ac

Sol :

=ac(b-1)

Question 5

-121m-11m²

Sol :

=-121m-11m²

=11m(-11m-m)

Question 6

a²b+ab²

Sol :

=a²b+ab²

=ab(a+b)

Question 7

24x³y-30x²y

Sol :

=24x³y-30x²y

=6xy(4x²-5x)

=6x²y(4x-5)

Question 8

-9x³-12x²+3x

Sol :

=-9x³-12x²+3x

=-3x(3x²+4x-1)

Question 9

25a²bc³-35ab²c³+45a³bc²

Sol :

=25a²bc³-35ab²c³+45a³bc²

=5abc²(5ac-7bc+9ac)

Question 10

-x-y-z

Sol :

=-x-y-z

=-1(x+y+z)

Question 11

x(x-y)+(x-y)

Sol :

=x(x-y)+(x-y)

=(x-y)(x+1)

Question 12

(x+y)-(x+y)2

Sol :

=(x+y)-(x+y)²

=(x+y)-(x+y)(x+y)

=(x+y)(1-x-y)

Question 13

a(x-y)-b(y-x)

Sol :

=a(x-y)-b(y-x)

=a(x-y)+b(x-y)

=(a-b)(x-y)

Question 14

(a-b)⁴+(a-b)³

Sol :

=(a-b)⁴+(a-b)³

=(a-b)³(a-b)¹+(a-b)³

=(a-b)³[(a-b)+1]

=(a-b)³[a-b+1]

Question 15

(x-y)⁶+(y-x)⁵

Sol :

=(x-y)⁶+(y-x)⁵

=(x-y)⁶-(x-y)⁵

=(x-y)⁵(x-y)¹-(x-y)⁵

=(x-y)⁵[(x-y)-1]

=(x-y)⁵[x-y-1]