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17 tháng 8 2019

(X-y-4)2-(2x+3y-1)2

=(X-Y-4-2X-3Y+1)(X-Y-4+2X+3Y-1)=(-X-4Y-3)(X+2Y-5)

(2x2+1)2+6(2x2+1)+9

=(2X2+1+3)2   (dùng hằng đẳng thức a2 +2ab+b2 =(a+b)2

=(2x2+4)2=(2(x2+2))2=4(x2+2)2

17 tháng 8 2019

\(a,\left(x-y-4\right)^2-\left(2x+3y-1\right)^2\)

\(=\left(3x-2y-5\right)\left(-x-4y-3\right)\)

\(b,\left(2x^2+1\right)^2+6\left(2x^2+1\right)+9\)

\(=\left(2x^2+4\right)^2\)

17 tháng 8 2019

\(27x^3+125y^3\)

\(=\left(3x\right)^3+\left(5y\right)^3\)

\(=\left(3x+5y\right)\left(9x^2-15xy+25y^2\right)\)

17 tháng 8 2019

\(16x^2-24xy+9y^2\)

\(=\left(4x\right)^2-2.4x.3y+\left(3y\right)^2\)

\(=\left(4x-3y\right)^2\)

17 tháng 8 2019

\(36x^2-\left(3x-2\right)^2\)

\(=\left(6x\right)^2-\left(3x-2\right)^2\)

\(=\left(6x+3x-2\right)\left(6x-3x+2\right)\)

\(=\left(9x-2\right)\left(3x+2\right)\)

17 tháng 8 2019

\(-49x^2+9\)

\(=3^2-\left(7x\right)^2\)

\(=\left(3-7x\right)\left(3+7x\right)\)

10 tháng 8 2019

\(\left(2x+1\right)^2-4\left(x-1\right)^2=3\left(4x-1\right)\)

\(\left(2x+y\right)^2-4x^2+12x-9=\left(2x+y\right)^2-\left(2x-3\right)^2=\left(y+3\right)\left(4x+y-3\right)\)

\(\left(x+1\right)^2-4\left(x+1\right)\left(y^2+4y^4\right)=\left(x+1\right)\left(x-16y^4-4y^2+1\right)\)

\(a,\left(2x+1\right)^2-4\left(x-1\right)^2=\left(2x+1-2\left(x-1\right)\right)\left(2x+1+2\left(x-1\right)\right)\)

\(=\left(2x+1-2x+2\right)\left(2x+1+2x-2\right)\)

\(=3\left(4x-1\right)\)

\(b,\left(2x+y\right)^2-4x^2+12x-9=\left(2x+y\right)^2-\left(2x-3\right)^2\)

\(=\left(2x+y-2x+3\right)\left(2x+y+2x-3\right)\)

\(=\left(y+3\right)\left(4x+y-3\right)\)

\(c,\left(x+1\right)^2-4\left(x+1\right)\left(y^2+4y^4\right)=\left(x+1\right)\left(x+1-4\left(y^2+4y^4\right)\right)\)

\(=\left(x+1\right)\left(x+1-4y^2+16y^4\right)\)

20 tháng 9 2018

a) \(y^2+2y^2-3y=y.y+y.2y-y.3\)

\(=y\left(y+2y-3\right)\)

b) \(2x^4-x^3+2x^2+1=2x^2.x^2-x^2.x+2x.x^2+1\)

\(=x^2\left(2x^2-x+2x\right)+1=x^2.x\left(2x-1+2\right)+1\)

k mình nha

20 tháng 9 2018

a. y2+2y2-3y

=y(y+2y-3)

b. 2x4-x3+2x2+1

=2x2(x2+1)-(x3-1)

=2x2(x+1)(x-1)-(x-1)(x2+x+1)

=(x-1)[2x2(x+1)-(x2+x+1)]

=(x-1)(2x3+2x2-x2-x-1)

=(x-1)(2x3+x2-x-1)

22 tháng 12 2019

a, \(x^2+3x+3y+xy=\left(x^2+xy\right)+\left(3x+3y\right)=x\left(x+y\right)+3\left(x+y\right)=\left(x+y\right)\left(x+3\right)\)

b, \(x^3-2x^2+x=x\left(x^2-2x+1\right)=x\left(x-1\right)^2\)

8 tháng 6 2017

a) \(=x^2+2xy+y^2-x^2+y^2=2xy+2y^2=2y\left(x+y\right)\)

b) \(=\left(x^2-4y^2\right)-\left(2x+4y\right)=\left(x-2y\right)\left(x+2y\right)-2\left(x+2y\right)=\left(x+2y\right)\left(x-2y-2\right)\)

c) \(=3\left[\left(x^2+2xy+y^2\right)-z^2\right]=3\left[\left(x+y\right)^2-z^2\right]=3\left(x+y+z\right)\left(x+y-z\right)\)

d) \(=\left(2xy+1+2x+y\right)\left(2xy+1-2x-y\right)\)

e) \(=\left(x-3\right)\left(x^2+3x+9\right)-2x\left(x-3\right)=\left(x-3\right)\left(x^2+x+9\right)\)

f) \(=\left(x+5\right)\left(x^2-5x+25\right)-x\left(x+5\right)=\left(x+5\right)\left(x^2-6x+25\right)\)

8 tháng 6 2017

a) \(\left(x+y\right)^2-\left(x^2-y^2\right)\)

\(=x^2+2xy+y^2-x^2+y^2\)

\(=2y^2+2xy\)

\(=2y\left(x+y\right)\)

c) \(3x^2+6xy+3y^2-3z^2\)

\(=3\left(x^2+2xy+y^2-x^2\right)\)

\(=3\left[\left(x+y\right)^2-z^2\right]\)

\(=3\left(x+y+z\right)\left(x+y-z\right)\)

d) \(\left(2xy+1\right)^2-\left(2x+y\right)^2\)

\(=\left(2xy+1+2x+y\right)\left(2xy+1-2x-y\right)\)

\(=\left[\left(2xy+2x\right)+\left(y+1\right)\right]\left[\left(2xy-2x\right)-\left(y-1\right)\right]\)

\(=\left[2x\left(y+1\right)+\left(y+1\right)\right]\left[2x\left(y-1\right)-\left(y-1\right)\right]\)

\(=\left(2x+1\right)\left(y+1\right)\left(2x-1\right)\left(y-1\right)\)

\(=\left(4x^2-1\right)\left(y^2-1\right)\)

23 tháng 10 2016

kết quả thôi nha

23 tháng 10 2016

umk nhanh nha bạn

6 tháng 7 2019

a) 16(4x+5)2 - 25(2x+2)2

\(=\left[4\left(4x+5\right)\right]^2-\left[5\left(2x+2\right)\right]^2\)

\(=\left[4\left(4x+5\right)+5\left(2x+2\right)\right]\left[4\left(4x+5\right)-5\left(2x+2\right)\right]\)

\(=\left(16x+20+10x+10\right)\left(16x+20-10x-10\right)\)

\(=\left(26x+30\right)\left(6x+10\right)\)

6 tháng 7 2019

\(b,\left(x-y+4\right)^2-\left(2x+3y-1\right)^2\)

\(=\left(x-y+4+2x+3y-1\right)\left(x-y+4-2x-2y+1\right)\)

\(=\left(3x+2y+3\right)\left(-x-3y+5\right)\)

\(c,\left(x+1\right)^4-\left(x-1\right)^4\)

\(=\left(x+1\right)^{2^2}-\left(x-1\right)^{2^2}\)

\(=\left[\left(x+1\right)^2+\left(x-1\right)^2\right]\left[\left(x+1\right)^2-\left(x-1\right)^2\right]\)

\(=\left(x^2+2x+1+x^2-2x+1\right)\left[\left(x+1+x-1\right)\left(x+1-x+1\right)\right]\)

\(=\left(2x^2+2\right)2x.2\)

\(=4x.2\left(x^2+1\right)\)

\(=8x\left(x^2+1\right)\)