please answer this fast
I'm in great need
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Step-by-step explanation:
1) x^12-1/x^12
= (x^6)^2-(1/x^6)^2
= (x^6+1/x^6)(x^6-1/x^6)
= (x^6+1/x^6)[(x^3)^2-(1/x^3)^2]
= (x^6+1/x^6)(x^3+1/x^3)(x^3-1/x^3)
2) 343+64x^3
= (7)^3+(4x)^3
= (7+4x)(49-28x+16x^2)
3) a^3b^3-3√3c^3
= (ab)^3-(√3c)^3
= (ab-√3c)(a^2b^2+√3abc+3c^2)
Answered by
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1) x^12-1/x^12
= (x^6)^2-(1/x^6)^2
= (x^6+1/x^6)(x^6-1/x^6)
= (x^6+1/x^6)[(x^3)^2-(1/x^3)^2]
= (x^6+1/x^6)(x^3+1/x^3)(x^3-1/x^3)
2) 343+64x^3
= (7)^3+(4x)^3
= (7+4x)(49-28x+16x^2)
3) a^3b^3-3√3c^3
= (ab)^3-(√3c)^3
= (ab-√3c)(a^2b^2+√3abc+3c^2)
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