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=6x^2 - 4x - 9x +6
=(6x^2 -4x) - (9x-6)
=2x(3x -2) - 3(3x-2)
=(3x-2) (2x - 3)
\(6x^2+13x-15\)
\(=6x^2+18x-5x-15\)
\(=6x.\left(x+3\right)-5.\left(x+3\right)\)
\(=\left(x+3\right).\left(6x-5\right)\)
\(6x^2+13x-15\)
\(=6x^2+18x-5x-15\)
\(=6x\left(x+3\right)-5\left(x+3\right)\)
\(=\left(x+3\right)\left(6x-5\right)\)
\(P\left(x\right)=6x^3+13x^2+4x-3\)
\(=\left(6x^3+6x^2\right)+\left(7x^2+7x\right)-\left(3x-3\right)\)
\(=6x^2\left(x+1\right)+7x\left(x+1\right)-3\left(x+1\right)\)
\(=\left(6x^2+7x-3\right)\left(x+1\right)\)
\(=\left[\left(6x^2-2x\right)+\left(9x-3\right)\right]\left(x+1\right)\)
\(=\left[2x\left(3x-1\right)+3\left(3x-1\right)\right]\left(x+1\right)\)
\(=\left(3x-1\right)\left(2x+3\right)\left(x+1\right)\)
1) 6x^2 + 7x - 5
=6x2-3x+10x-5
=3x.(2x-1)+5.(2x-1)
=(2x-1)(3x+5)
2) 10x^2 - 13x - 3
=10x2+2x-15x-3
=2x(5x+1)-3(5x+1)
=(5x+1)(2x-3)
\(6x^2+7x-5\)
\(=6x^2-3x+10x-5\)
\(=3x\left(2x-1\right)+5\left(2x-1\right)\)
\(=\left(2x-1\right)\left(3x+5\right)\)
a) Ta có : 6x2 - 13x + 6 = 6x2 - 9x - 4x + 6 = 3x(2x - 3) - 2(2x - 3) = (3x - 2)(2x - 3)
b) Ta có: 6x2 + 7x - 3 = 6x2 + 9x - 2x - 3 = 3x(2x + 3) - (2x + 3) = (3x - 1)(2x + 3)
\(a,6x^2-13x+6\)
\(=6x^2-9x-4x+6\)
\(=3x\cdot\left(2x-3\right)-x\cdot\left(2x-3\right)\)
\(=\left(2x-3\right)\cdot\left(3x-x\right)\)
\(=\left(2x-3\right)\cdot2x\)
\(b,6x^2+7x-3\)
\(=6x^2-2x+9x-3\)
\(=2x\cdot\left(3x-1\right)+3\cdot\left(3x-1\right)\)
\(=\left(3x-1\right)\cdot\left(2x+3\right)\)
trả lời
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e) \(=x^2\left(x+1\right)-2x\left(x+1\right)+3\left(x+1\right)=\left(x+1\right)\left(x^2-2x+3\right)\)
g) \(=x^2\left(3x-1\right)-x\left(3x-1\right)+4\left(3x-1\right)=\left(3x-1\right)\left(x^2-x+4\right)\)
h) \(=3x^2\left(2x+1\right)-x\left(2x+1\right)+\left(2x+1\right)=\left(2x+1\right)\left(3x^2-x+1\right)\)
i) \(=2x^2\left(2x+1\right)+2x\left(2x+1\right)+\left(2x+1\right)=\left(2x+1\right)\left(2x^2+2x+1\right)\)
Ta có: \(6x^4-13x^2+6\)
\(=6x^4-9x^2-4x^2+6\)
\(=3x^2\left(2x^2-3\right)-2\left(2x^2-3\right)\)
\(=\left(2x^2-3\right)\left(3x^2-2\right)\)
\(6x^4-13x^2+6=6x^4-4x^2-9x^2+6\)
\(=2x^2\left(3x^2-2\right)-3\left(3x^2-2\right)\)
\(=\left(2x^2-3\right)\left(3x^2-2\right)\)
\(=6x^2+3x+10x+5=3x\left(2x+1\right)+5\left(2x+1\right)=\left(3x+5\right)\left(2x+1\right)\)
6x2+3x+10x+5=3x(2x+1)+5(2x+1)=(3x+5)(2x+1)