(a-b)²=a²-2ab+b²
(a+b)²=a²+2ab+b²
a²-b²=(a-b)(a+b)
(11-√17)(11+√17)
=11²-(√17)²=121-17=104
<span>(√43-5)²+ 10(√43-0,2)=66
1) </span>(√43-5)²=(√43)² - 2*5*√43 + 5²=43-10√43+25=68<span>-10√43
2) </span><span><span>10(√43-0,2)=10</span></span><span>√43 - 10*0.2 =</span><span>10<span>√43-2</span>
3) </span><span>68<span>-10√43 +</span></span><span>10√43-2=68-2=66
14(1+√31)+(7-√31)²=94
1) </span><span>14(1+√31)=14+</span><span>14√31
2) </span><span><span>(7-√31)²=7² - 2*7*√31 + (²√31)</span>=49-14√43+31=80-14√43
3) </span><span><span>14+14√31</span>+</span><span><span>80-14√43=14+80=94
</span> (√2-√15)²+(√6+√5)²</span>=28
1) <span>(√2-√15)²=(√2)² - 2*√2*√15 + (√15)²=2-2√30+15=17-4√30
2) </span><span><span>(√6+√5)²=(√6)² + 2*√6*√5 </span>+ (√5)²=6+2√30+5=11+2√30
3) </span><span>17-2√30</span>+11+2√30=17+11=28
1) 2а⁴b³-2a³b⁴+6a²b²=2a²b²(a²b-ab²+3)
2)x²-3x-3y-y²=(x²-y²)-3(x+y)=(x-y)(x+y)-3(x+y)=(x+y)(x-y-3)
3) a³-4a=a(a²-4)=a(a-2)(a+2)
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( X - 5 )*( 2X + 3 ) - ( X + 4 )*( 4 - X ) = 2X + 5
2X^2 + 3X - 10X - 15 - ( 16 - X^2 ) = 2X + 5
2X^2 - 7X - 15 - 16 + X^2 = 2X + 5
3X^2 - 7X - 31 = 2X + 5
3X^2 - 7X - 2X - 31 - 5 = 0
3X^2 - 9X - 36 = 0
3 * ( X^2 - 3X - 12 ) = 0
ОТВЕТ X^2 - 3X - 12 = 0
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4х - х = 6 +3
3х = 9
х = 3
Ответ: 3