Question

13 . Scrie, sub forma cea mai simpla , urmatoarele expresii algebrice:
a ) . E(x) ⇒ (X+2)^2+ ( X - 2) ( X + 2 )
b ) . E(X) ⇒(X-3) (X+3) - (X-4) ^2
c) . E(X) ⇒ ( 2X -5) ^2 +(X +1 ) - (X√5 +3 ) (X√5 - 3 )
d( . E(X) ⇒ 2(X - 6 ) ^2 + (X - 2√3 ) (X+2√3 ) - ( 2X - 1 ) ^2

Answer 1

Răspuns:

Explicație pas cu pas:

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

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