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Class 9 FRANK Solutions Maths Chapter 4: Expansions

Learn to expand the given mathematical expressions with Frank Solutions for ICSE Class 9 Mathematics Chapter 4 Expansions. Practise the solutions to evaluate expressions without using the multiplication method. Also, revise the steps to find the cube of the given expression with the help of our chapter solutions.

Also, practise the Frank textbook solutions to relearn the methods for solving expansions-based problems. You can also solve related problems by accessing TopperLearning’s online sample question papers and previous years’ papers with solutions. And if you have trouble with difficult questions, get a response to your doubts on our ‘UnDoubt’ section.

Expansions Exercise Ex. 4.1

Solution 1

        (V)

Solution 2

Solution 3

Solution 4

Solution 5

Solution 6

Solution 7

Solution 8

Solution 9

Solution 10

Solution 11

Solution 12

Solution 13

Solution 14

Solution 15

Solution 16

Solution 17

Solution 18

Solution 19

Solution 20

Solution 21

Expansions Exercise Ex. 4.2

Solution 1

  (v)
  begin mathsize 12px style Using space left parenthesis straight a space plus space straight b space plus space straight c right parenthesis cubed equals straight a cubed plus straight b cubed plus straight c cubed plus 3 straight a squared straight b plus 3 straight a squared straight c plus 3 straight b squared straight a plus 3 straight c squared straight a plus 6 abc
open parentheses straight a minus 1 over straight a plus straight b close parentheses cubed
equals straight a cubed plus open parentheses negative 1 over straight a close parentheses cubed plus straight b cubed plus 3 straight a squared open parentheses negative 1 over straight a close parentheses plus 3 straight a squared plus 3 open parentheses negative 1 over straight a close parentheses squared straight b plus 3 open parentheses negative 1 over straight a close parentheses squared straight a plus 3 straight b squared straight a plus 3 straight b squared open parentheses negative 1 over straight a close parentheses plus 6 straight a open parentheses negative 1 over straight a close parentheses straight b
equals straight a cubed minus 1 over straight a cubed plus straight b cubed minus 3 straight a plus 3 straight a squared straight b plus fraction numerator 3 straight b over denominator straight a squared end fraction plus 3 over straight a plus 3 straight b squared straight a minus fraction numerator 3 straight b squared over denominator straight a end fraction minus 6 straight b end style

Solution 2

Solution 3

Solution 4

Solution 5

Solution 6(a)

Solution 6(b)

Solution 7

Solution 8

Solution 9

Solution 10

Solution 11

Solution 12

Solution 13

Solution 14

Solution 15

Solution 16

Solution 17

Solution 18

Solution 19

Solution 20

Solution 21

Solution 22

Solution 23

Solution 24(a)

Solution 24(b)

Solution 24(c)

Solution 24(d)

Solution 24(e)

Solution 24(f)

Solution 24(g)

Solution 24(h)

Solution 24(i)

Solution 24(j)

Solution 24(k)

Solution 24(l)

Solution 24(m)

Solution 24(n)

Solution 24(o)

Solution 25