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\(a,2x^3+5x^2+5x+3\)
\(=2x^3+3x^2+2x^2+3x+2x+3\)
\(=x^2\left(2x+3\right)+x\left(2x+3\right)+\left(2x+3\right)\)
\(=\left(2x+3\right)\left(x^2+x+1\right)\)
\(x^2-5x+6=\left(x-2\right)\left(x-3\right)\)
\(x^2-7x+12=\left(x-2\right)\left(x-5\right)\)
\(x^2+x-12=\left(x-5\right)\left(x+6\right)\)
\(x^2-9x+20=\left(x-4\right)\left(x-5\right)\)
1) \(x^2-6x+3\)
\(=x^2-6x+9-6\)
\(=\left(x-3\right)^2-6\)
\(=\left(x-3+\sqrt{6}\right)\left(x-3-\sqrt{6}\right)\)
2) \(2m^2+10m+8\)
\(=2m^2+2m+8m+8\)
\(=2m\left(m+1\right)+8\left(m+1\right)\)
\(=\left(2m+8\right)\left(m+1\right)\)
\(=2\left(m+4\right)\left(m+1\right)\)
3) \(9x^2+6x-8\)
\(=\left(9x^2+6x+1\right)-9\)
\(=\left(3x+1\right)^2-9\)
\(=\left(3x+4\right)\left(3x-2\right)\)
4) \(x^3-5x^2-14x\)
\(=x\left(x^2-5x-14\right)\)
\(=x\left(x^2-2x+7x-14\right)\)
\(=x\left[x\left(x-2\right)+7\left(x-2\right)\right]\)
\(=x\left(x+7\right)\left(x-2\right)\)
3x2 + 10x +3
=> 3x2 + 9x +x +3
=> (3x2 +x )+ ( 9x +3)
=> x(3x +1) +3( 3x+1)
=>(3x+1) (x+3)
Tự làm tiếp nhé
a, ta có: 3x^2 +10x+3= 3x^2 + 9x +x +3 = 3x(x+3)+(x+3)=(x+3)+(3x+1)
2 câu còn lại đang trong qtrinhf suy nghĩ
b) 3x4-3x3+9x3-9x2-24x2+24x-48x+48
=3x3(x-1)+9x2(x-1)-24x(x-1)-48(x-1)
=(x-1)(3x3+9x2-24x-48)
=3(x-1)(x3+3x2-8x-16)
một đòn bẫy dài một mét .đặt ở đâu để có thể dùng 3600n có thể nâng tảng đá nặng 120kg?
4: \(3x^3-5x^2+5x-2\)
\(=3x^3-2x^2-3x^2+2x+3x-2\)
\(=x^2\left(3x-2\right)-x\left(3x-2\right)+\left(3x-2\right)\)
\(=\left(3x-2\right)\left(x^2-x+1\right)\)
5: \(5x^3-12x^2+14x-4\)
\(=5x^3-2x^2-10x^2+4x+10x-4\)
\(=\left(5x-2\right)\left(x^2-2x+2\right)\)
câu c:x^4-2x^3-x^2+x^3-2x^2-x+5x^2-10x-5=x^2(x^2-2x-1)+x(x^2-2x-1)+5(x^2-2x-1)=(x^2-2x-1)(x^2+x+5)
6x3 - 7x2 + 5x - 2
= 6x3 - 4x2 - 3x2 + 2x + 3x - 2
= 6x2(x - 2/3) - 3x(x - 2/3) + 3(x - 2/3)
= (x - 2/3)(6x2 - 3x + 3)
= 3(x - 2/3)(2x2 - x + 1)
4x3 + 5x2 + 10x - 12
= 4x3 - 3x2 + 8x2 - 6x + 16x - 12
= 4x2(x - 3/4) + 8x(x - 3/4) + 16(x - 3/4)
= (x - 3/4)(4x2 + 8x + 16)
= 4(x - 3/4)(x2 + 2x + 4)
4x3 - 7x2 - x + 3
= 4x3 - 3x2 - 4x2 + 3x - 4x + 3
= 4x2(x - 3/4) - 4x(x - 3/4) - 4(x - 3/4)
= (x - 3/4)(4x2 - 4x - 4)
= 4(x - 3/4)(x2 - x - 1)
4x3 - 5x2 + 6x + 9
= 4x3 + 3x2 - 8x2 - 6x + 12x + 9
= 4x2(x + 3/4) - 8x(x + 3/4) + 12(x + 3/4)
= (x + 3/4)(4x2 - 8x + 12)
= 4(x + 3/4)(x2 - 2x + 3)
3x3 - 5x2 + 5x - 2
= 3x3 - 2x2 - 3x2 + 2x + 3x - 2
= 3x2(x - 2/3) - 3x(x - 2/3) + 3(x - 2/3)
= (x - 2/3)(3x2 - 3x + 3)
= 3(x - 2/3)(x2 - x + 1)