factorise this question
a^4-343a
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16
step-1 a4-343a
step-2 2.1 pulling out like factor : a4-43=a.(a3-342) trying to factor as difference of cube
2.2 factoring a3-343
theory : A difference of two perfect cube a3-b3 can be factor into(a-b).(a2+ab+b2)
proof (a-b). (a2+ab+b2)= a3+a2b+b2-b2a.b3
=a3+(a2b-ba2)+(ab2-b2a)
=a3+0+0+b3
a3+b3
check wheather 343 is the cube of 7
check a3 is the cube of a1
Answered by
56
Answer:a^4-343a
a (a^3-343)
a (a^3-7^3)
a (a-7)(a^2+7^2+7a)
a (a-7)(a^2+49+7a)
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