Zad.Oblicz. a) (3√2-3)^2*(3√2+3)^2 c) (3√7+4√5)^2-(3√7-4√5)^2
a) (3√2-3)^2*(3√2+3)^2 = (18 - 18√2 + 9) * (18 + 18√2 + 9) = 324 + 324√2 + 162 - 324√2 -
1296 - 162√2 + 162 + 162√2 + 81 = -640
c) (3√7+4√5)^2-(3√7-4√5)^2 = 63 + 24√35 + 80 - 63 + 24√35 - 80 = 48√35
(3√2-3)^2*(3√2+3)^2=[(3√2-3)*(3√2+3)]^2=[(3√2)^2-3^2]^2=(18-9)^2=9^2=81
a^n*b^n=(a*b)^n
(a+b)(a-b)=a^2-b^2
c) (3√7+4√5)^2-(3√7-4√5)^2=[(3√7+4√5)*(3√7-4√5)]^2=[(3√7)^2-(4√5)^2]^2=(63-60)^2=3^2=9
Prosze bardzo
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a) (3√2-3)^2*(3√2+3)^2 = (18 - 18√2 + 9) * (18 + 18√2 + 9) = 324 + 324√2 + 162 - 324√2 -
1296 - 162√2 + 162 + 162√2 + 81 = -640
c) (3√7+4√5)^2-(3√7-4√5)^2 = 63 + 24√35 + 80 - 63 + 24√35 - 80 = 48√35
(3√2-3)^2*(3√2+3)^2=[(3√2-3)*(3√2+3)]^2=[(3√2)^2-3^2]^2=(18-9)^2=9^2=81
a^n*b^n=(a*b)^n
(a+b)(a-b)=a^2-b^2
c) (3√7+4√5)^2-(3√7-4√5)^2=[(3√7+4√5)*(3√7-4√5)]^2=[(3√7)^2-(4√5)^2]^2=(63-60)^2=3^2=9
Prosze bardzo