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a) P(x) =5x3 - 5x + 9 +x
=5x3 + (-5x + x) + 9
= 5x3 - 4x + 9
Sắp xếp: tương tự như trên.
Mk đang bận chút mk làm tiếp.
a) \(A\left(x\right)=-5x^3-2x^2+x+9x^3-2x^2-\left(x-1\right)\)
\(=\left(9x^3-5x^3\right)-\left(2x^2+2x^2\right)+\left(x-x\right)+1\)
\(=4x^3-4x^2+1\)
\(C\left(x\right)=x^3-2x\left(3x+1\right)-4\)
\(=x^3-6x^2-2x-4\)
b) \(A\left(x\right)+C\left(x\right)=4x^3-4x^2+1+x^3-6x^2-2x-4\)
\(=\left(4x^3+x^3\right)-\left(4x^2+6x^2\right)-2x+\left(1-4\right)\)
\(=5x^3-10x^2-2x-3\)
\(A\left(x\right)-C\left(x\right)=4x^3-4x^2+1-\left(x^3-6x^2-2x-4\right)\)
\(=4x^3-4x^2+1-x^3+6x^2+2x+4\)
\(=\left(4x^3-x^3\right)+\left(6x^2-4x^2\right)+2x+\left(1+4\right)\)
\(=3x^3+2x^2+2x+5\)
a, \(A\left(x\right)=-5x^3-2x^2+x+9x^3-2x^2-\left(x-1\right)\)
\(=4x^3-4x^2+x-x+1=4x^3-4x^2+1\)
\(C\left(x\right)=x^3-2x\left(3x+1\right)-4=x^3-6x^2-2x-4\)
b, \(A\left(x\right)+C\left(x\right)=5x^3-10x^2-2x-3\)
\(A\left(x\right)-C\left(x\right)=3x^3+2x^2+2x+5\)
a) Ta có : \(A\left(x\right)+B\left(x\right)\)
\(=2x^3+2x-3x^2+1+2x^2+3x^3-x-5\)
\(=\left(2x^3+3x^3\right)+\left(-3x^2+2x^2\right)+\left(2x-x\right)+\left(1-5\right)\)
\(=5x^3-x^2-x-4\)
b) Ta sẽ sắp xếp như sau :
\(A\left(x\right)=2x^3-3x^2+2x+1\)
\(B\left(x\right)=3x^3+2x^2-x-5\)
c) Ta có : \(A\left(x\right)-B\left(x\right)\)
\(=\left(2x^3+2x-3x^2+1\right)-\left(2x^2+3x^3-x-5\right)\)
\(=2x^3+2x-3x^2+1-2x^2-3x^3+x+5\)
\(=\left(2x^3-3x^3\right)+\left(-3x^2-2x^2\right)+\left(2x+x\right)+\left(1+5\right)\)
\(=-x^3-5x^2+3x+6\)
a,A( x ) \(=\) 2x\(^3\) - 3x\(^2\) + 2x +1
B( x ) \(=\) 3x\(^3\) +2x\(^2\) - x - 5
b,A(x) + B(x) \(=\) 2x\(^3\) - 3x\(^2\) + 2x +1 + 3x\(^3\) +2x\(^2\) - x - 5
A(x) + B(x) \(=\) 5x\(^3\) - x\(^2\) + x - 4.
c,A(x) - B(x) \(=\) 2x\(^3\) - 3x\(^2\) + 2x +1 - 3x\(^3\) - 2x\(^2\) + x + 5
A(x) - B(x) \(=\) -x\(^3\) - 5x\(^2\) +3x +6
Thu gọn
A(x) = 5 +3x2 – x - 2x2
A(x) = 5+x2-x
A(x) = x2-x+5
B(x) = 3x + 3 – x – x2
B(x) = ( 3x-x) + 3 - x2
B(x) = 2x+3-x2
B(x)= -x2 + 2x+3
\(A(x) = 5 +3x^2 – x - 2x^2 = 5 + ( 3^2 - 2x^2 ) - x = x^2 -x+5\)
\( B(x) = 3x + 3 – x – x^2 = ( 3x-x ) + 3 - x^2 = 2x + 3 - x^2 = -x^2 + 2x +3\)