Doprowadź wyrażenie do prostszej postaci:
2(x - y)kwadrat - (x - y)(x + y) + 4xy - 3xy kwadrat
plizka tylko szybko !
2(x - y)² - (x - y)(x + y) + 4xy - 3xy²=
2(x²-2xy+y² ) - (x²-y²) + 4xy -3xy²=
= 2x² -4xy +2y² -x² + y² +4xy -3xy²=
= x² +3y² -3xy²
2(x-y)
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2(x - y)² - (x - y)(x + y) + 4xy - 3xy²=
2(x²-2xy+y² ) - (x²-y²) + 4xy -3xy²=
= 2x² -4xy +2y² -x² + y² +4xy -3xy²=
= x² +3y² -3xy²
2(x-y)