1) 4X^2 - 25Y^2 = ( 2X - 5Y)*( 2X + 5Y )
2) X^3 + 8 = ( X + 2 )*( X^2 - 2X + 4 )
3) [ ( 2X - 5Y)*( 2X + 5Y ) / [ ( X + 2 )*( X^2 - 2X + 4 ) ] * [ ( X^2 - 2X + 4 ) / ( 2X + 5Y ) ] = ( 2X - 5Y ) / ( X + 2 )
ОТВЕТ ( 2X - 5Y ) / ( X + 2 )
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1) M^3 - N^3 = ( M - N )*( M^2 + MN + N^2 )
2) M^2 - N^2 = ( M - N )*( M + N )
3) [ ( ( M - N )*( M^2 + MN + N^2 ) ) / ( M + N ) ] * [ ( M -N )*( M + N ) / ( M^2 + MN + N^2 ) ] = ( M - N )*( M - N ) = ( M - N )^2 = M^2 - 2MN + N^2
ОТВЕТ M^2 - 2MN + N^2
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1) P^3 - Q^3 = ( P - Q )*( P^2 + PQ + Q^2 )
2) P^2 - 1 = ( P - 1 )*( P + 1 )
3) [ ( P^2 + PQ + Q^2 ) / ( P - 1 ) ] * [ ( P - 1 )*( P + 1 ) / ( ( P - Q )*( P^2 + PQ + Q^2 ) ] = ( P + 1 ) / ( P - Q )
ОТВЕТ ( P + 1 ) / ( P - Q )