Question

efectuati a)5x (x-3)-(2-x)
b)x la a 2 a (x-2)la a 2 +3x(2+x)la a 2 a -(x-1) la a 2 a

Answer 1

$a)5x(x - 3) - (2 - x)$

$= 5 {x}^{2} - 15x - 2 + x$

$= 5 {x}^{2} - 14x - 2$

$b) {x}^{2} {(x - 2)}^{2} + 3x {(2 + x)}^{2} - {(x - 1)}^{2}$

$= {x}^{2} ( {x}^{2} - 4x + 4) + 3x(4 + 4x + {x}^{2} ) - ( {x}^{2} - 2x + 1)$

$= {x}^{4} - 4 {x}^{3} + 4 {x}^{2} + 12x + 12 {x}^{2} + 3 {x}^{3} - {x}^{2} + 2x - 1$

$= {x}^{4} - {x}^{3} + 15 {x}^{2} + 14x - 1$

Answer 2

a) 5x (x-3)-(2-x)=5x² - 15x - 2 +x = 5x² - 14x - 2
b)x la a 2 a (x-2)la a 2 +3x(2+x)la a 2 a -(x-1) la a 2 a
x²(x-2)²+3x(2+x)²-(x-1)²=        - o să lucrez separat ......apoi „asamblez„....
x²(x-2)²=x²(x²-4x+4)=x⁴-4x³+4x²        1.
3x(2+x)²=3x(4+4x+x²)=12x+12x²+3x³           2.
(x-1)²=x²-2x+1        3.          -  asamblăm   1 +2 -3
x⁴-4x³+4x²+12x+12x²+3x³-x²+2x-1=x⁴-x³+15x²+14x-1

Sper că te-am ajutat!