B = x(x+2)+(3-x)(3+x)
Cho đa thức B(x) = 2\(x^{^{ }2}\)-4x + 3. Tính B(3), B(-\(\dfrac{1}{2}\) )
Cho đa thức M(x) = 7\(x^3\)- 3\(x^4\)- \(x^2\) + 3\(x^2\)- \(x^3\)- 3\(x^4\)- 6\(x^3\)
Cho đa thức N(x) = 3x - 5\(x^3\) + 8\(x^2\)- 5x + 5\(x^3\) + 5
B(3)=2*3^2-4*3+3=18-12+3=9
B(-1/2)=2*1/4-4*(-1/2)+3=1/2+3+2=1/2+5=11/2
Giải phương trình:
1) (x - 5)2 + (x + 3)2 = 2(x - 4)(x + 4) - 5x + 7
2) (x + 3)(x - 2) - 2(x + 1)2 = (x - 3)2 - 2x2 + 4x
3) (x + 1)3 - (x + 2)(x - 4) = (x - 2)(x2 + 2x + 4) + 2x2
4) (x - 2)3 + (x - 5)(x + 5) = x(x2 - 5x) - 7x + 3
5) (x + 4)(x2 - 4x + 16) - x(x - 4)2 = 8(x - 3)(x + 3)
6) 4(x - 1)(x + 2) - 5(x + 7) = (2x + 3)2 - 5x + 3
7) (x - 1)(x2 + x + 1) + 3(x - 2)2 = x(x2 + 3x - 1)
8) (x + 5)(x - 5) - (x + 3)(x2 - 3x + 9) = 5 - x(x2 - x -2)
9) (x + 2)2 - 2(x + 3)(x - 4) = 5 - x(x - 3)
10) (x + 7)(x - 7) - (x + 2)2 = 5(x - 2) + (x - 7)
_Làm hộ với!_
cái này có vội không? nếu không thì sáng mai mình giải cho bạn?
1)\(\left(x-5\right)^2+\left(x+3\right)^2=2\cdot\left(x-4\right)\cdot\left(x+4\right)-5x+7\)
\(\Leftrightarrow x^2-10x+25+x^2+6x+9-2x^2+32+5x-7=0\)
\(\Leftrightarrow x+59=0\)
\(\Rightarrow x=-59\)
A(\(x\))=-\(x\)\(^3\)+7\(x\)\(^2\)+2\(x\)-15
B(\(x\))=\(x\)\(^2\)-5\(x^3\)-4\(x\)+7
C(\(x\))=3\(x^3\)-\(7x^2\)-4
tính B(\(x\))-A(\(x\))+C(\(x\)) C(\(x\))-B(\(x\))-A(\(x\))
hellp!!!
`@` `\text {Ans}`
`\downarrow`
`B(x)-A(x)+C(x)`
`=`\((x^2-5x^3-4x+7) - (-x^3 + 7x^2 +2x - 15) + 3x^3 - 7x^2 -4\)
`=`\(x^2-5x^3-4x+7+x^3-7x^2-2x+15+3x^3-7x^2-4\)
`=`\(\left(-5x^3+x^3+3x^3\right)+\left(x^2-7x^2-7x^2\right)+\left(-4x-2x\right)+\left(7+15-4\right)\)
`=`\(-x^3-13x^2-6x+18\)
`C(x)-B(x)-A(x)`
`=`\(3x^3 - 7x^2 -4 - (x^2-5x^3-4x+7) - (-x^3 + 7x^2 +2x - 15)\)
`=`\(3x^3-7x^2-4-x^2+5x^3+4x-7+x^3-7x^2-2x+15\)
`=`\(\left(3x^3+5x^3+x^3\right)+\left(-7x^2-x^2-7x^2\right)+\left(4x-2x\right)+\left(-4-7+15\right)\)
`=`\(9x^3-15x^2+2x+4\)
a) \(B\left(x\right)-A\left(x\right)+C\left(x\right)\)
\(=\left(x^2-5x^3-4x+7\right)-\left(-x^3+7x^2+2x-15\right)+\left(3x^3-7x^2-4\right)\)
\(=x^2-5x^3-4x+7+x^3-7x^2-2x+15+3x^3-7x^2-4\)
\(=\left(-5x^3+x^3+3x^3\right)+\left(x^2-7x^2-7x^2\right)-\left(4x+2x\right)+\left(7-4+15\right)\)
\(=-x^3-13x^2-6x+18\)
b) \(C\left(x\right)-B\left(x\right)-A\left(x\right)\)
\(=\left(3x^3-7x^2-4\right)-\left(x^2-5x^3-4x+7\right)-\left(-x^3+7x^2+2x-15\right)\)
\(=3x^3-7x^2-4-x^2+5x^3+4x-7+x^3-7x^2-2x+15\)
\(=\left(3x^3+5x^3+x^3\right)-\left(7x^2+x^2+7x^2\right)+\left(4x-2x\right)-\left(4+7-15\right)\)
\(=9x^3-15x^2+2x+4\)
\(B\left(x\right)-A\left(x\right)+C\left(x\right)\)
\(=\left(x^2-5x^3-4x+7\right)-\left(-x^3+7x^2+2x-15\right)+\left(3x^3-7x^2-4\right)\)
\(=x^2-5x^3-4x+7+x^3-7x^2-2x+15+3x^3-7x^2-4\)
\(=\left(-5x^3+x^3+3x^3\right)+\left(x^2-7x^2-7x^2\right)+\left(-4x-2x\right)+\left(7+15-4\right)\)
\(=-x^3-13x^2-6x+18\)
\(C\left(x\right)-B\left(x\right)-A\left(x\right)\)
\(=\left(3x^3-7x^2-4\right)-\left(x^2-5x^3-4x+7\right)-\left(-x^3+7x^2+2x-15\right)\)
\(=3x^3-7x^2-4-x^2+5x^3+4x-7+x^3-7x^2-2x+15\)
\(=\left(3x^3+5x^3+x^3\right)+\left(-7x^2-x^2-7x^2\right)+\left(4x-2x\right)+\left(-4-7+15\right)\)
\(=9x^3-15x^2+2x+4\)
Tìm x, biết:
a) 6(x + 2)(x - 3) - 3(x - 2)2 - 3(x - 1)(x + 1) = 1
b) (x - 1)(x2 + x + 1) + x(x + 2)(2 - x) = 5
c) (x - 1)3 - (x + 3)(x3 - 3x + 9) + 3(x - 2)(2 + x) = 2
\(a)6\left(x+2\right)\left(x-3\right)-3\left(x-2\right)^2-3\left(x-1\right)\left(x+1\right)=1\\ \Leftrightarrow\left(6x+12\right)\left(x-3\right)-3\left(x^2-4x+4\right)-3\left(x^2-1\right)=1\\ \Leftrightarrow6x^2-18x+12x-36-3x^2+12x-12-3x^2+3=1\\ \Leftrightarrow6x-45=1\\ \Leftrightarrow6x=1+45\\ \Leftrightarrow6x=46\)
\(\Leftrightarrow\)\(x=\dfrac{23}{3}\)
\(b)\left(x-1\right)\left(x^2+x+1\right)+x\left(x+2\right)\left(2-x\right)=5\\ \Leftrightarrow x^3-1+x\left(4-x^2\right)=5\\ \Leftrightarrow x^3-1+4x-x^3=5\\ \Leftrightarrow4x=5+1\\ \Leftrightarrow4x=6\)
\(\Leftrightarrow\)\(x=\dfrac{3}{2}\)
a, 2.x.(x-1)^2-3.x.(x+3).(x-3)-4.x.(x+1)^2
b,(a-b+c)^2-(b-c)^2+2.a.b-2.a.c
c,(3.x+1)^2-2.(1+3.x).(3.x+5)+(3.x+5)^2
d, (3+1).(3^2+1).(3^4+1).(3^8+1).(3^16+1).(3^32+1)
e, (a+b-c)^2+(a-b+c)^2+(b-c-a)^2+(c-a-b)^2
Rút gon: [16a^2-(4a-5)^2]^2-[9a^2-(3a 5)^2]^2
(x-3)^3-(x 3)^3 (1/2a b)^3 (1/2a-b)^3 (x 5)^3-x^3-125 (x-2)(x 2)(x 3)-(x 1)^3 (x 2)^3-(x-2)^3-12x^2Bài 1: Tìm x , biết:
1) x - 2 = -6 12) 3 . | x - 1 | - 5 = 7
2) -5 . x - ( -3 ) = 13 13) -12 . ( x - 5 ) + 7 . ( 3 - x ) = 5
3) 15 - ( x - 7 ) = -21 14) ( x - 2 ) . ( x + 4 ) = 0
4) 3 .x + 17 = 2 15) ( x - 2 ) . ( x + 15 ) = 0
5) 45 - ( x - 9 ) = -35 16) ( 7 - x ) . ( x + 19 ) = 0
6) ( -5 ) + x = 15 17) -5 < x < 1
7) 2 . x - ( -17 ) = 15 18) | x | < 3
8) | x - 2 | = 3 19) ( x - 3 ) . ( x - 5 ) < 0
9) | x - 3 | - 7 = 13 20) 2 . x2 - 3 = 29
10) 72 - 3 . | x + 1 | = 9 21) -6 . x - ( -7) = 25
11) 17 - ( 43 - | x | ) = 45 22) 46 =- ( x - 11 ) = -48
1) x - 2 = -6
x = -6 + 2
x = -4
2) -5 . x - ( -3 ) =13
-5 . x = 13 + ( -3 )
-5 . x = 10
x = 10 : ( -5 )
x = -2
Đa thức –(x – 3)^2 bằng với đa thức :
A. (x – 3)^2 B. (x + 3)^2 C. (3 – x)^2 D. –(3 – x)^2
Đa thức –(x + 3)^3 bằng với đa thức :
A. (-x – 3)^3 B. (x – 3)^3 C. –(3 – x)^3 D. (-x + 3)^3
Tính A+B, A-B, B-A
a, A=x\(^2\)y+0,xy\(^3\)-7,5x\(^3\)y\(^2\)+x\(^3\)
B=3xy\(^3\)-x\(^2\)y+5,5x\(^3\)y\(^2\)
b, A=x\(^5\)+xy+0,3y\(^2\)-2
B=x\(^2\)y\(^3\)+5+1,3y\(^2\)
c, A=x\(^2\)y+xy\(^2\)-5x\(^2\)y\(^2\)+x\(^3\)
B=3xy\(^2\)-x\(^2\)y+x\(^2\)y\(^2\)
tính :
a, (x+1).(1+x-x^2+x^3-x^4)-(x-1).(1+x+x^2+x^3+x^4)
b, (2 b^2-2-5b+6b^3) . (3+3b^2-b)