Oblicz.
2(x-y)(x+y)-3(x+2y)² gdy x=√2 i y=√2/2
Jaki wielomian W nalezy dodac do wielomaniu P(x)=7x⁴-5x³-8 aby otrzymac dwumian x+1?
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2(x-y)(x+y)-3(x+2y)²=2x²-2y²-3(x²+4xy+4y²)=2x²-2y²-3x²-12xy-12y²=-x²-12xy-14y²
teraz po uproszczeniu podstawiasz do tego: -x²-12xy-14y² za x=√2 i y=√2/2
(-2)-(12*√2*√2/2)-(14*√2/2)=-2-12-7√2=-14-7√2