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a) = x2 - 3x + 2x - 6
= x(x -3) + 2(x - 3)
= (x - 3)(x + 2)
b) = x2 - x + 5x - 5
= x(x - 1) + 5(x - 1)
= (x - 1)(x + 5)
c) = x3 - 5x2 + 5x2 - 25x + 6x - 30
= x2(x - 5) + 5x(x - 5) +6(x - 5)
= (x - 5)(x2 + 5x + 6)
= (x - 5)(x2 + 2x + 3x + 6)
= (x - 5)[x(x + 2) + 3(x + 2)]
= (x - 5)(x + 2)(x + 3)
a) = x2 - 3x + 2x - 6
= x(x -3) + 2(x - 3)
= (x - 3)(x + 2)
b) = x2 - x + 5x - 5
= x(x - 1) + 5(x - 1)
= (x - 1)(x + 5)
c) = x3 - 5x2 + 5x2 - 25x + 6x - 30
= x2(x - 5) + 5x(x - 5) +6(x - 5)
= (x - 5)(x2 + 5x + 6)
= (x - 5)(x2 + 2x + 3x + 6)
= (x - 5)[x(x + 2) + 3(x + 2)]
= (x - 5)(x + 2)(x + 3)
a) \(x^2-x-2=x^2+x-2x-2=x\left(x+1\right)-2\left(x+1\right)\)
\(=\left(x+1\right)\left(x-2\right)\)
a) \(x^2-x-2=x^2-2x+x-2=x\left(x-2\right)+\left(x-2\right)=\left(x-2\right)\left(x+1\right)\)
b) \(x^3-19x-30==x^3+2x^2-2x^2-4x-15x-30=x^2\left(x+2\right)-2x\left(x+2\right)-15\left(x+2\right)\)
\(=\left(x+2\right)\left(x^2+2x-15\right)=\left(x+2\right)\left(x-3\right)\left(x+5\right)\)
c) \(x^3-6x^2+11x-6=x^3-x^2-5x^2+5x+6x-6=x^2\left(x-1\right)-5x\left(x-1\right)+6\left(x-1\right)=\left(x-1\right)\left(x-2\right)\left(x-3\right)\)
a) x3−19x−30=(x−5)(x+2)(x+3)
b) x4−x2+1=x4+2x2+1−3x2=(x2+1)2−(x√3)2=(x2+1+x√3)(x2+1−x√3)
\(a\text{) }x^3-19x-30=\left(x-5\right)\left(x+2\right)\left(x+3\right)\)
\(b\text{) }x^4-x^2+1=x^4+2x^2+1-3x^2=\left(x^2+1\right)^2-\left(x\sqrt{3}\right)^2=\left(x^2+1+x\sqrt{3}\right)\left(x^2+1-x\sqrt{3}\right)\)
a)( x3 -19x-30=(x-5)(x+2)(x+3)
b) 2x3 -5x2+8x-3=(2x-1)(x2-2x+3)
a)9(2x+1)2 - 4(x-1) 2
<=>33(2x+1)2-22(x+1)2
<=>(3(2x+1)) 2-(2(x+1))2
<=>(6x+3)2-(2x+1)2
<=>((6x+3)-(2x+1)) ((6x+3)+(2x+1))
<=>(6x+3-2x-1)(6x+3+2x+1)
<=.>(4x+2)(8x+4)
b) x3 - 19x- 30
<=>x3-25x+6x-30
<=.>x(x2-52)+6(x-5)
<=>x(x+5)(x-5)+6(x-5)
<=>(x-5) (x2+5x+6)
<=>(x-5) (x2+2x+3x+6)
<=>(x-5) ( x(x+2)+3(x+2))
<=>(x-5) (x+2)(x+3)
c) x4+ x2 +1
<=>x4+x2+1
<=>x4−x+x2+x+1
<=>x(x3−1)+(x2+x+1)
<=>x(x−1)(x2+x+1)+(x2+x+1)
<=>(x2+x+1)[x(x−1)+1]
<=>(x2+x+1)(x2−x+1)
câu d mình chịu :(((
\(x^2-x-6=x^2+2x-3x-6=x\left(x+2\right)-3\left(x+2\right)=\left(x-3\right)\left(x+2\right)\)
\(x^3-19x-30=x^3+6x-25x-30=x\left(x^2-25\right)+6x-30=x\left(x^2-25\right)+6\left(x-5\right)\)
\(=x\left(x-5\right)\left(x+5\right)+6\left(x-5\right)=\left(x-5\right)\left[\left(x\right)\left(x+5\right)+6\right]\)