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a) 8x3 + 4x2 - y3 - y2 = (8x3 - y3) + (4x2 - y2)
b) x2 + 5x - 6
= x2 + 6x - x - 6
= x(x + 6) - (x + 6)
= (x + 6)(x - 1)
a. 8x3+4x2-y3-y2
= (2x)3+(2x)2-y3-y2
=(2x)3-y3+(2x)2-y2
=(2x-y).(2x2+2xy+y2)+(2x-y)(2x+y)
=(2x-y)(2x2+2xy+y2+2x+y)
\(3x^2-8x+4\)
\(=3x^2-6x-2x+4\)
\(=\left(3x^2-6x\right)-\left(2x-4\right)\)
\(=3x\left(x-2\right)-2\left(x-2\right)\)
\(=\left(3x-2\right)\left(x-2\right)\)
a) \(3x^2-8x-4\)
\(=3x^2-6x-2x+4\)
\(=3x\left(x-2\right)-2\left(x-2\right)\)
\(=\left(x-2\right)\left(3x-2\right)\)
b) \(4x^4+81\)
\(=x^4+81+18x^2-18x^2\)
\(=\left[\left(x^2\right)^2+2x^2.9+9^2\right]-18x^2\)
\(=\left(x^2+9\right)^2-(\sqrt{18}x^2)\)
\(=\left(x^2+9-\sqrt{18}x\right)\left(x^2+9+\sqrt{18}x\right)\)
a/ \(x^3-5x^2+8x-4\)
= \(\left(x^3-x^2\right)-\left(4x^2-4x\right)+\left(4x-4\right)\)
= \(x^2\left(x-1\right)-4x\left(x-1\right)+4\left(x-1\right)\)
= \(\left(x-1\right)\left(x^2-4x+4\right)\)
= \(\left(x-1\right)\left(x-2\right)^2\)
b/ \(x^3-x^2+x-1\)
= \(\left(x^3-x^2\right)+\left(x-1\right)\)
= \(x^2\left(x-1\right)+\left(x-1\right)\)
= \(\left(x-1\right)\left(x^2+1\right)\)
Phân tích :
a, = 2 . (4x^2-1) = 2.(2x-1).(2x+1)
b, = (x^2-6x+9) - y^2 = (x-3)^2 - y^2 = (x-y-3).(x+y-3)
k mk nha
\(x^3-x^2-5x+125\)
\(=\left(x+5\right)\left(x^2-5x+25\right)-x\left(x+5\right)\)
\(=\left(x+5\right)\left(x^2-5x+25-x\right)\)
\(=\left(x+5\right)\left(x^2-6x+25\right)\)
\(x^6-x^4-9x^3+9x^2\)
\(=x^4\left(x^2-1\right)-9x^2\left(x-1\right)\)
\(=x^4\left(x-1\right)\left(x+1\right)-9x^2\left(x-1\right)\)
\(=x^2\left(x-1\right)\left[x^2\left(x+1\right)-9\right]\)
\(=x^2\left(x-1\right)\left(x^3+x^2-9\right)\)
\(x^4-4x^3+8x^2-16x+16\)
\(=\left(x^2+4\right)^2-4x\left(x^2+4\right)\)
\(=\left(x^2+4\right)\left(x^2+4-4x\right)\)
\(=\left(x^2+4\right)\left(x-2\right)^2\)
\(3a^2-6ab+3b^2-12c^2\)
\(=3\left(a^2-2ab+b^2-4c^2\right)\)
\(=3\left[\left(a-b\right)^2-\left(2c\right)^2\right]\)
\(=3\left(a-b+2c\right)\left(a-b-2c\right)\)
câu 1
a, 5x - x 2 + 2xy - 5y
= 5x - x 2 + xy + xy - 5y
= ( 5x - 5y ) - ( x2 - xy ) + xy
= 5 ( x-y ) - x(x-y ) + xy
= (5-x) ( x-y) + xy
mik làm dc mỗi câu a !
a)\(2a^3+16=2\left(a^3+8\right)=2\left(a+2\right)\left(a^2-2a+4\right)\)
b)\(8x^3+27y^3+36x^2y+54xy^2=\left(2x\right)^3+\left(3y\right)^3+3.\left(2x\right)^2.3y+3.2x.\left(3y\right)^2\)
\(=\left(2x+3y\right)^2\)
c)\(x^4-2x^3-x^2+2x+1=\left(x^4-x^3-x^2\right)-\left(x^3-x^2-x\right)-\left(x^2-x-1\right)\)
\(=x^2\left(x^2-x-1\right)-x\left(x^2-x-1\right)-\left(x^2-x-1\right)\)
\(=\left(x^2-x-1\right)\left(x^2-x-1\right)=\left(x^2-x-1\right)^2\)
a) x4 - x3y - x + y
= x3(x - y) - (x - y)
=(x - y)(x3 - 1)
=(x - y)(x - 1)(x2 + x + 1)
b) x3 - 4x2 - 8x + 8
= (x3 + 8) - (4x2 + 8x)
= (x + 2)(x2 - 2x + 4) - 4x(x + 2)
= (x + 2)(x2 - 2x + 4 - 4x)
= (x + 2)(x2 - 6x + 4)
a, = (x^4-x^3y)-(x-y)
=x^3.(x-y)-(x-y) = (x-y).(x^3-1) = (x-y).(x-1).(x^2+x+1)
b, = (x^3+2x^2)-(6x^2+12x)+(4x+8)
= x^2.(x+2)-6x.(x+2)+4.(x+2) = (x+2).(x^2-6x+4)
k mk nha
( x2 + 8x - 34)2 - ( 3x2 - 8x + 2)2
=> x4 + 8x2 - 342 - 3x4 + 8x2 - 22
=> x4( 1 - 4 ) + ( 8x2 - 8x2 ) + ( 342 - 22 )
-3x4 + 0 + 1152
= -3x4 + 1152
Lk t nhá, Michiel na`h, h pải dùng nik ko có tn