Question

Efectuați:
a) (√3-1)^2+(√5x-2)(√5x+2)-(√3+2)^2
b) (2√2x+3)^2+(3√2x-2)^2-(√7x-√5)(√7x+√5)
c) (√3x+3√2)^2+(3√3x-√2)^2-(5x-2√5)(5x+2√5)
d) (2√5x+√2)^2+(2√2x-√5)^2-(2√7x-√3)(2√7x+√3)
e) (4√3x-1)^2+(√3+4)^2-(5√2-4)(5√2+4)
f) (√2x-√3)(√2x+√3)(2x^2+3)-2x^2(2x^2-4)

Answer 1

a) 3-2√3+1+5x²-4-(3+4√3+4) = 5x²-6√3-7

b) 8x²+12√2x+9+18x²-12√2x+4-(7x²-5) = 19x²+18

c) 3x²+18+27x²+2-(25x²-20) = 5x²+40 = 5(x²+8)

d) 20x²+4√10x+2+8x²-4√10x+5-(28x²-3) = 20x²+2+8x²+5-28x²+3 = 10

e) 48x²-8√3x+1+3+8√3+16-(50-16) = 48x²-8√3x-14+8√3

f) (2x²-3)(2x²+3)-4x^4 +8x² = 4x^4 -9-4x^4 +8x² = 8x²-9