Question

Question no 24 (Factorization) BOTH (i) and (ii)

Answer 1

no. 24 ques. (i)

64m^3 - 343n^3

=4^3m^3 - 7^3n^3

=(4m)^3 - (7n)^3

since $a^{3} - b^{3} = (a + b) (a^{2}  - ab + b^{2} )$

=(4m + 7n)([4m]^2 - [4m][7n] + [7n]^2)

=(4m + 7n)(16m^2 - 28mn + 49n^2)

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