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4x2 - 12x + 9 =
= ( 2x )2 - 2 . 2x . 3 + 32
= ( 2x - 3 )2
Hok tốt!!!!!!!!!!
\(12x-9-4x^2=-\left(2x-3\right)^2\\ Sửa:x^3-6x^2y+12xy^2-8y^3=\left(x-2y\right)^3\)
a) \(4x^2+20x+25=\left(2x+5\right)^2\)
b) \(x^2-6x+9=\left(x-3\right)^2\)
c) \(4x^2+12x+9=\left(2x+3\right)^2\)
\(16y^2-4x^2-12x-9=16y^2-\left(2x-3\right)^2\)
\(=\left(4y-2x+3\right)\left(4y+2x-3\right)\)
16y2 - 4x2 - 12x - 9 = 16y2 - (4x2 + 12x + 9) = 16y2 - (2x + 3)2 = (4y - 2x - 3)(4y + 2x + 3)
12x3 + 4x2 - 27x - 9
= 4x2 ( 3x + 1 ) - 9 ( 3x + 1 )
= ( 3x +1 ) ( 4x2 -9 )
k nha !
\(12x^3+4x^2-27x-9\)
\(=4x^2\left(3x+1\right)-9\left(3x+1\right)\)
\(=\left(3x+1\right)\left(4x^2-9\right)\)
\(=\left(3x+1\right)\left(2x-3\right)\left(2x+3\right)\)
Chúc bạn học tốt.
\(=x^3+3x^2-7x^2-21x+9x+27=\left(x+3\right)\left(x^2-7x+9\right)\)
\(x^4+4x^3-2x^2-12x+9\)
\(=x^4+3x^3+x^3+3x^2-5x^2-15x+3x+9\)
\(=x^3\left(x+3\right)+x^2\left(x+3\right)-5x\left(x+3\right)+3\left(x+3\right)\)
\(=\left(x+3\right)\left(x^3+x^2-5x+3\right)\)
\(=\left(x+3\right)\left(x^3+3x^2-2x^2-6x+x+3\right)\)
\(=\left(x+3\right)\left[x^2\left(x+3\right)-2x\left(x+3\right)+\left(x+3\right)\right]\)
\(=\left(x+3\right)\left(x+3\right)\left(x^2-2x+1\right)\)
\(=\left(x+3\right)^2\left(x-1\right)^2\)
\(12x-9-4x^2\)\(=-\left(4x^2-12x+9\right)\)\(=-\left[\left(2x\right)^2-2.2x.3+3^2\right]\)\(=-\left(2x-3\right)^2\)