Grade 12th pass9 grade maths
10. Factorise each of the following:
(i) 27y3 + 125e' (ii) 64m8 - 343n9•
10. Factorise each of the following:
(i) 27y3 + 125e' (ii) 64m8 - 343n9•
1 Answer
Pawan Prajapati
(i) Consider 27y3 + 125z3 c: (3y)3 + (5z)s
= cay + 5z) ((3y'f/- - C3yX5z> + C5z>2J
[Using identity:.r3 + y8 • (.r + y Xr - xy + y2)J
= (3y + mX9y2 - 15yz +
(u) Conside.r 64m8 - 34&3 = (4m)3 - (7n"J
= (4m - 7n) {(4m)2 + (4mX7n) + (7n>21
[Using identity:.r8 - y3 = (.r - y"h;2 + xy + y2)]
= (4m - 7nX16m2 + 28mn + 49n2>.
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