Question

Calculati utilizand forumulele de calcul prescurtat DAU COROANA
a)(x+3)²+(x-1)²-2x²
b)(2x+7)²-(3x+5)²+(2x+5)
c)(x-4)²-(x-3)·(x+3)+2(x+1)²
d)(2x-3)²-4(x-6)·(x+6)+(x-9)(x+9)+x²
e)(5x-1)(5x+1)-(4x+3)²+2(3x-1)²
f)(3+2x)²-(x+2)·(x-2)+4(x-3)²
g)(6x-1)²-9(x-1)(x+1)+3(2x-7)2

Answer 1

A)(X+3)²+(X-1)²-2X²=
(X²-6x+9)+(x²-2x+1)-2x²=
x²-6x+9+x²-2x+1-2x²=
-8x+10
b)(2x+7)²-(3x+5)²+(2x+5)=
(4x²+28x+49)-(9x²-30x+25)-(2x+5)=
4x²+28x+49-9x²+30x-25-2x-5=
-5x²+60x+19
c)(x-4)²-(x-3)(x+3)+2(x+1)²=
(x²-8x+16)-(x²-9)+2(x²+2x+1)=
x²-8x+16-x²+9+2x²+4x+2=
2x²-4x+27
d)(2x-3)²-4(x-6)(x+6)+(x-9)(9x+9)+x²=
(4x²-12x+9)-4(x²-36)+(x²-81)+x²=
4x²-12x+9-4x²+144+x²-81+x²=
6x²-12x+72
e)(5x-1)(5x+1)-(4x+3)²+2(3x-1)²=
(25x²-1)-(16x²-24x+9)+2(9x²-6x+1)=
25x²-1-16x²+24x-9+18x²-12x+2=
27x²+12x-8
f)(3-2x)²-(x+2)(x-2)+4(x-3)²=
(9-12x+4x²)-(x²-4)+4(x²-6x+9)=
9-12x+4x²-x²+4+4x²-24x+36=
7x²-36x+49
g)(6x-1)²-9(x-1)(x+1)+3(2x-7)²=
(36x²-12x+1)-9(x²-1)+3(4x²-28x+49)=
36x²-12x+1-9x²+1+12x²-84x+147
39x²-72x+148
sucees