Answer these questions of Algebra
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(i) (x³)³+(y³)³
⇒(x³)²-(xy)²+(y³)²
⇒x^6-(xy)²+y^6
(ii)x^6-7x³-8
⇒(x³)²-7x³-8
Let x³ be 't'
⇒t²-7t-8
By factorization,we
(t-8)(t+1)
Substitute t=x³,we have
(x³-8)(x³+1)
⇒(x³)²-(xy)²+(y³)²
⇒x^6-(xy)²+y^6
(ii)x^6-7x³-8
⇒(x³)²-7x³-8
Let x³ be 't'
⇒t²-7t-8
By factorization,we
(t-8)(t+1)
Substitute t=x³,we have
(x³-8)(x³+1)
GeniusYH:
Gr8
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