Question

13. Scrie, sub forma cea mai simplă, următoarele expresii algebrice: a) E(x) = (x + 2)2 + (x − 2)(x + 2);
b) E(x) = (x – 3)(x + 3) - (x – 4)2
c) E(2) = (2x x
d) E(x) = 2(x - 6)2 + (1 - 2/3)(x+2/3) - (2x - 1)2; 2 6x 2/3-
e) E(x) = 3(x - 2)(x + 2) - (x + 2)2 – (x - 2)2; - - 5)2 + (x + 1)2 – (XV5+3)(xV5 – 3); 2 - - - - - -
f) E(x) = (x2 – 2)2 – (x - 1)(x + 1)(x2 + 1) + 4(x - 3)2; 2. - х
g) E(x) = (x + 2)(x2 + 4)(x - 2) - (2 – 22);
h) E(x) = (x - 3)(x2 +9)(x+3) - (22 + 1)(1+x)(x - 1) + 8​

Answer 1

Răspuns:

a ) E(x) = (X+2)²+ ( X - 2)·( X + 2 )

E(x) = x²+4x+4 + x²-4 = 2x²+4x = 2x(x+2)

b) E(x) = (X-3) ·(X+3) - (X-4)² = x²-9 - (x²-8x+16) =

= x²-9-x²+8x-16 = 8x-25

c) E(X) = ( 2X -5)²+(X +1 ) - (X√5 +3 ) ·(X√5 - 3 )

E(x) = 4x²-20x+25+x+1- 5x²+9 = -x²-19x+35

d) E(X) =2(X - 6 )² + (X - 2√3 ) ·(X+2√3 ) - ( 2X - 1 )²

E(x) = 2(x²-12x+36) + x²-12 - (4x²-4x+1) =

= 2x²-24x+72+x²-12-4x²+4x-1 = -x²-20x+59

Explicație pas cu pas:

.