5(x+2y)²-4(2x-y)(2x+y)+(3x+2)=
stosuję wzór skróconego mnożenia :
(a -b)( a+b) = a² -b²
(a+b)²=a²+2ab+b²
= 5( x² + 4xy +4y²) -4(4x² -y²) + 3x +2
= 5x² + 20xy + 20y² -16x² + 4y² +3x +2 =
= -11x² +20xy +24y² +3x +2
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5(x+2y)²-4(2x-y)(2x+y)+(3x+2)=
stosuję wzór skróconego mnożenia :
(a -b)( a+b) = a² -b²
(a+b)²=a²+2ab+b²
= 5( x² + 4xy +4y²) -4(4x² -y²) + 3x +2
= 5x² + 20xy + 20y² -16x² + 4y² +3x +2 =
= -11x² +20xy +24y² +3x +2