Question

алгебра!!!!! срочно!!!!!!​

Answer 1

$1)\; \; (x-4)^2+8\, (x-2)=x^2-8x+16+8x-16=x^2\\\\2)\; \; x^2+4-(x+2)^2=x^2+4-x^2-4x-4=-4x\\\\3)\; \; (x^2+5)^2-x^2\, (x^2+10)-50=x^4+10x^2+25-x^4-10x^2-50=-25\\\\4)\; \; (x+2)^2-(x-2)^2=x^2+4x+4-x^2+4x-4=8x\\\\5)\; \; (4x-5)^2-4x(4x-9)-25=16x^2-40x+25-16x^2+36x-25=-4x\\\\6)\; \; 4(x^2+1)-4(1-x)^2=4x^2+4-4(1-2x+x^2)=\\=4x^2+4-4+8x-4x^2=8x\\\\7)\; \; (2x+1)^2-(x+1)(3x+1)=4x^2+4x+1-(3x^2+x+3x+1)=\\=4x^2+4x+1-3x^2-4x-1=x^2$

Answer 2

1. (х-4)²+8(х-2)=х²-8х+16+8х-16=х²

2. х²+4-х²-4х-4=-4х

3. (х²+5)²-х²*(х²+10)-50=х⁴+10х²+25-х⁴-10х²-50=-25

4. (х+2)²-(х-2)²=х²+4х+4-х²+4х-4=8х

5. (4х-5)²-4х*(4х-9)-25=16х²-40х+25-16х²+36х-25=-4х

6. 4*(х²+1)-4*(1-х)²=4х²+4-4-4х²+8х=8х

7. (2х+1)²-(х+1)*(3х+1)=4х²+4х+1-3х²-х-3х-1=х²