А) 3x²-4x-(3x²-5x-(7x²-3))=
=3x²-4x-(3x²-5x-7x²+3)=
=<u>3x²</u>-<em>4x</em>-<u>3x²</u>+<em>5x</em>+<u>7x²</u>-3 =
=7x²+x-3
б) (x³+2x²-(x+1)) -(x²-(7x³+2))=
=(x³+2x²-x-1) - (x²-7x³-2) =
= <u>x³</u>+2x²-<em>x</em>-1 - x²+<u>7x³</u>+2 =
=8x³ +x² -x+1
в) -(12p⁴-(10p⁴-3p³-(7p²-4p³-(8p²-4p))))=
= -(12p⁴-(10p⁴-3p³-(7p²-4p³-8p²+4p)))=
= -(12p⁴-(10p⁴-3p³-7p²+4p³+8p²-4p))=
= -(<u>12p⁴</u>-<u>10p⁴</u>+3p³+<em>7p²</em>-4p³-<em>8p²</em>+4p)=
= -(2p⁴-p³-p²+4p)=
=-2p⁴+p³+p²-4p
г) 3.5n²-((11.4n⁴+1.3n⁵)-(7n⁴+2.5n³)+(3n⁴+(2n²-2n⁴)))=
=3.5n²-(11.4n⁴+1.3n⁵-7n⁴-2.5n³+3n⁴+2n²-2n⁴)=
=3.5n²-11.4n⁴<u>-1.3n⁵</u>+7n⁴+<em>2.5n³</em>-3n⁴-2n²+2n⁴=
=-1.3n⁵-5.4n⁴+2.5n³+1.5n²
д) 4x+(3x-(5x-(7x+5x²)+9x³)-3x³)=
=4x+(3x-(5x-7x-5x²+9x³)-3x³)=
=4x+(3x-5x+7x+5x²-9x³-3x³)=
=<em>4x+3x-5x+7x</em>+5x²<u>-9x³-3x³</u>=
=-12x³+5x²+9x
1,2 - (2х - (х - 2)) - (х-0,8) = - 2х
<span>1,2 - (2х - х + 2) - х + 0,8 = - 2х
</span>1,2 - (х + 2) - х + 0,8 = - 2х
1,2 - х - 2 - х + 0,8 = - 2х
2 - 2 - 2x = - 2x
- 2x = - 2x
- 2x + 2x = 0
0x = 0
При любых значениях х будет верное равенство
Раскроем скобки и получим
![24n(n+1)+48n+48.\\](https://tex.z-dn.net/?f=24n%28n%2B1%29%2B48n%2B48.%5C%5C)
Каждое слагаемое делится на 48, поэтому и все выражение делится на 48.
3√2 и 2√3 -> (3√2)^2=9*2=18 и (2√3)^2=4*3=12 -> 3√2 > 2√3
√43 и 3√5 -> (√43)^2=43 и (3√5)^2=9*5=45 -> √43 < 3√5