Question

11. Efectuați calculele: a) (x - 5)(x+5) + (x-3)²-2(x + 1)(x+4); b) (3x+1)-5(x+2)(x-2)-4(x-1)²; c) (x + 2)² + (x-1)²-2(x+4)(x-4); e) (2x + 3y)²-(2x + 3y)(2x-3y); g) (3a+2b)+(2a + b)(2a-b)-(3a-b 4) (1+x)²+(2+x)²+(3+x)³²; 1) (2x+3)² + 4x(3x-2) + (2x-1)²;






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Answer 1

Folosim formule de calcul prescurtat:

(a±b)²=a²±2ab+b²

(a+b)(a-b)=a²-b²

a) (x - 5)(x+5) + (x-3)²-2(x + 1)(x+4)=

x²-25+x²-6x+9-2x²-10x-8=

-16x-24

b) (3x+1)-5(x+2)(x-2)-4(x-1)²=

3x+1-5x²+20-4x²-8x-4=

-9x²-5x+17

c) (x + 2)² + (x-1)²-2(x+4)(x-4)=

x²+4x+4+x²-2x+1-2x²+32=

2x+37

e) (2x + 3y)²-(2x + 3y)(2x-3y)=

4x²+12xy+9y²-4x²+9y²=

18y²+12xy

g) (3a+2b)+(2a + b)(2a-b)-(3a-b 4)=

3a+2b+4a²-b²-3a+4b=

4a²-b²+6b

1) (2x+3)² + 4x(3x-2) + (2x-1)²=

4x²+12x+9+12x²-8x+4x²-4x+1=

20x²+10

Un alt exercitiu gasesti aici: https://brainly.ro/tema/1064698

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