a) ( 3 + x ) ( x ^ 2 - 9 ) - ( x - 3 ) ( x ^ 2 + 3x + 9 )
b) ( x + 6 ) ^ 2 - 2 x ( x + 6 ) + ( x - 6 ) ( x +6 )
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\(a,\left(3x+x\right)\left(x^2-9\right)-\left(x-3\right)\left(x^2+3x+9\right)\)
\(=4x\left(x^2-9\right)-x^3+27\)
\(=4x^3-36x-x^3+27\)
\(=3x^3-36x+27\)
\(\left(x+6\right)^2-2x.\left(x+6\right)+\left(x-6\right).\left(x+6\right)\)
\(=\left(x+6\right).\left(x+6-2x+x-6\right)\)
\(=\left(x+6\right).0\)
\(=0\)
a: \(\dfrac{x^2}{3x+6}+\dfrac{4x+4}{3x+6}=\dfrac{x^2+4x+4}{3x+6}=\dfrac{x+2}{3}\)
b: \(\dfrac{x+3}{x}+\dfrac{x}{3-x}-\dfrac{9}{3x-x^2}\)
\(=\dfrac{x^2-9-x^2+9}{x\left(x-3\right)}\)
=0
Bài 1 :
a) (3+x)(x2-9)-(x-3)(x2+3x+9) = ( x-3)(x+3)2-(x-3)(x2+3x+9)
= (x-3) ( x2+6x+9 - (x2+3x+9)) = (x-3) . 3x = 3x(x-3)
Các câu còn lại mình sẽ gửi bạn sau nếu có thời gian
Nhấn đúng để ủng hộ mình :))
Rút gọn:
A=(x+3+2.(x^-9)^1/2):(2x-6+(x^2-9)^1/2
B=(x^2+5x+6+x.(9-x^2)^1/2):(3x-x^2+(x+2).(9-x^2)^1/2
Rút gọn:
A=(x+3+2.(x^-9)^1/2)/(2x-6+(x^2-9)^1/2
B=(x^2+5x+6+x.(9-x^2)^1/2)/(3x-x^2+(x+2).(9-x^2)^1/2
a: \(=3x^3-2x^2+5x\)
b: \(=x^3-2x^2+3x+6x^2-12x+18\)
\(=x^3+4x^2-9x+18\)
c: \(=2x^2-6xy+6xy-15y^2=2x^2-15y^2\)
d: \(=\left(x+3\right)\left(x^2-9\right)-x^3+27\)
\(=x^3-9x+3x^2-27-x^3+27=3x^2-9x\)
a,(3+x)(x2-9)-(x-3)(x2+3x+9)
=(3x2-27+x3-9x)-(x3-27)
=3x2-27+x3-9x-x3+27
=3x2-9x
=3x(x-3)
b,(x+6)2-2x(x+6)+(x-6)(x+6)
=x2+12x+36-2x2-12x+x2-36
=0
a) \(\left(3+x\right)\left(x^2-9\right)-\left(x-3\right)\left(x^2+3x+9\right)\)
\(=\left(3x^2+x^3-27-9x\right)-\left(x^3-27\right)\)
\(=3x^2+x^3-27-9x-x^3+27\)
\(=3x^2-9x\)
b) \(\left(x+6\right)^2-2x\left(x+6\right)+\left(x-6\right)\left(x+6\right)\)
\(=\left(x^2+12x+36\right)-\left(2x^2+12x\right)+\left(x^2-36\right)\)
\(=x^2+12x+36-2x^2-12x+x^2-36\)
\(=0\)
a) (x-3).((3+x)2-(x2+3x+9))
<=> (x-3).(3x+9)
<=> 3.(x-3)2
a) đa thức
\(=\left(x-3\right)\left(x+3\right)^2-\left(x-3\right)\left(x^2+3x+9\right)=\left(x-3\right)\left(x^2+6x+9-x^2-3x-9\right)=3x\left(x-3\right)=3x^2-9x\)
b) đa thức \(=\left(x+6\right)^2-2x\left(x+6\right)+x^2-36=\left(x+6-x\right)^2-36=0\)