Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a,3x3y3-15x2y2=3x2y2(xy-5)
b,2x(x-5y)+8y(5y-x)=2x(x-5y)-8y(x-5y)=(x-5y).(2x-8y)
c,(3x-1)2-16=(3x-1)2-42=(3x-1+4)(3x-1-4)=(3x+3)(3x-5)
d,x3-3x2+3x-1=x3-1-(3x2+3x)=x3-1-3x(x+1)=(x3-1-3x)(x+1)
e,125x3+1=(5x)3+13=(5x+1)(25x2-5x.1+12)
f,x3+6x2y+12xy2+8y3=x3+3.x2.2y+3.x.(2y)2+(2y)3=(x+2y)3
P= 125x^3-8y^3
=5^3x^3-2^3y^3
=(5x)^3-(2y)^3
=(5x-2y)(25x^2+10xy+4y^2)
P=4x(x-2y)+8y(2y-x)
=4x(x-2y)-8y(x-2y)
=(4x-8y)(x-2y)
=4(x-2y)(x-2y)
=4(x-2y)^2
(2x+1)^2-(x-1)^2=(2x+1-x+1)(2x+1+x-1)
=(x+2)3x
K NHA!
a) 6x4 - 9x3 = 3x3(2x - 3)
b) 5y10 + 15y6 = 5y6(y4 + 3)
c) x2 - 6xy + 9y2 = x2 - 6xy + (3y)2 = (x - 3y)2
e) x3 - 64 = x3 - 43 = (x - 4)(x2 + 4x + 16)
f) 125x3 + y6 = (5x)3 + (y2)3 = (5x + y2)(25x2 + 5y2 + y4)
g) 0,125(a + 1)3 - 1 = [0,5(a + 1)]3 - 13 = (0,5a + 0,5)3 - 13 = (0,5a + 0,5 - 1)[(0,5a + 0,5)2 + (0,5a + 0,5) + 1) = (0,5a - 0,5)(0,25a^2 + 0,5 a + 0,25 + 0,5a + 0,5 + 1) = (0,5a - 0,5)(0,25a2 + 1,75 + a)
h) 3x2 - 12y2 = 3(x2 - 4y2) = 3[x2 - (2y)2 ] = 3(x - 2y)(x + 2y)
\(x^3-x^2-x+1\)
\(=x^2\left(x-1\right)-\left(x-1\right)\)
\(=\left(x-1\right)\left(x^2-1\right)\)
\(x^3+8y^3+2xy^2+x^2y\)
\(=x^3+2x^2y-x^2y-2xy^2+4xy^2+8y^3\)
\(=x^2\left(x+2y\right)-xy\left(x+2y\right)+4y^2\left(x+2y\right)\)
\(=\left(x+2y\right)\left(x^2-xy+4y^2\right)\)