Zad 17/91 matematyka z plusem z 2 gimnazjum
Wykonaj mnożenie !
a) (x + √5)(x-√5)
b) (2y - √3)(y+1)
c) (a +√2)(a-√3)
d) (2√2 +k)(√2-k)
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a) (x + √5)(x-√5)=x²-√5x+√5x-5=x²-5
b) (2y - √3)(y+1)=2y²+2y-√3y-√3
c) (a +√2)(a-√3)=a²-√3a+√2a-√6
d) (2√2 +k)(√2-k)=4-2√2k+√2k-k²=4-√2k-k²
licze na naj
a)(x+√5)(x-√5)=x²-5 wzor skroconego mnozenia:(a-b)(a+b)=a² -b²
b)(2y-√3)(y+1)=2y²-√3y+2y-√3
c)(a+√2)(a-√3)=a²+√2a-√3a-√6
d)(2√2+k)(√2-k) =4+√2k -2√2k-k²=4-√2k-k²