Wzory skróconego mnożenia: (x-y)² - 2xy + (x+y)²= (√3 +x)² - x²= 2(a + b)(a-b)-3ab= (a+b)²-2(a-b)²=

(x-y)² - 2xy + (x+y)²= x² - 2xy + y² - 2xy + x² + 2xy + y² = 2x² - 2xy + 2y² (√3 +x)² - x²= 3 + 2x√3 + x² - x² = 3 + 2x√3 2(a + b)(a-b)-3ab= 2 (a² - b²) - 3ab = 2a² + 2b² - 3ab (a+b)²-2(a-b)²= a² + 2ab + b² - 2(a² - 2ab + b²) = a² + 2ab + b² -2a² + 4ab - 2b² = -a² + 6ab - b² O to chodziło?

a) (x-y)² - 2xy + (x+y)²= =x²-2xy+y²-2xy+x²+2xy+y²= =2x²-2xy+2y²= =2(x²-xy+y²) b)(√3 +x)² - x²= 3+2√3x+x²-x²= =3+2√3x c)2(a + b)(a-b)-3ab= 2(a²-b²)-3ab= =2a²+2b²-3ab d)(a+b)²-2(a-b)²= =a²+2ab+b²-2(a²-2ab+b²)= a²+2ab+b²-2a²+4ab-2b²= =-a²-b²+6ab

(x-y)² - 2xy + (x+y)²=x²-2xy+y²-2xy+x²+2xy+y²=2x²-2xy+2y² (√3 +x)² - x²=3+2√3x+x²-x²=2√3x+3 2(a + b)(a-b)-3ab=2a²-2b²-3ab (a+b)²-2(a-b)²= a²+2ab+b²-2a²+4ab-2b²=6ab-a²-b²

wzory skróconego mnożenia: 3xy(2xy-1)-(2xy+3)2-xy(xy-15)   dla x=10 , y=0.1 (2ab+5)2-(3ab-4)(4+3ab)+5a2b2   dla a=0, b= 1

wzory skróconego mnożenia: 3xy(2xy-1)-(2xy+3)2-xy(xy-15)   dla x=10 , y=0.1 (2ab+5)2-(3ab-4)(4+3ab)+5a2b2   dla a=0, b= 1...