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Đề sai nhé .Sửu lại
\(x^2-4x^2y^2+4+4x\)
\(=\left(x^2+4x+4\right)-4x^2y^2\)
\(=\left(x+2\right)^2-\left(2xy\right)^2\)
\(=\left(x+2+2xy\right)\left(x+2-2xy\right)\)
\(3x^2+4x-7\)
\(=3x^2-3x+7x-7\)
\(=\left(3x^2-3x\right)+\left(7x-7\right)\)
\(=3x\left(x-1\right)+7\left(x-1\right)\)
\(=\left(3x+7\right)\left(x-1\right)\)
\(3x^2+4x-7\)
\(=3x^2-3x+7x-7\)
\(=\left(3x^2-3x\right)+\left(7x-7\right)\)
\(=3x\times\left(x-1\right)+7\times\left(x-1\right)\)
\(=\left(3x+7\right)\times\left(x-1\right)\)
Ta có :
\(x^4-3x^2+1\)
\(=\left(x^4-2x^2+1\right)-x^2\)
\(=\left(x^2-1\right)^2-x^2\)
\(=\left(x^2-1-x\right)\left(x^2-1+x\right)\)
a)
3x3y2+6x2y4=3x2y2*(x+y2)
b)
16-4x2=4*(4-x2)
c)
xy+xz+5x+5y=(xy+5y)+(xz+5x)
=y*(x+5)+x*(z+5)
=(x+5+z+5)*(y+x)
=5*(x+z)*(x+y)
\(x^8+3x^4+4\)
\(=\left(x^8-x^6+2x^4\right)+\left(x^6-x^4+2x^2\right)+\left(2x^4-2x^2+4\right)\)
\(=x^4\left(x^4-x^2+2\right)+x^2\left(x^4-x^2+2\right)+2\left(x^4-x^2+2\right)\)
\(=\left(x^4+x^2+2\right)\left(x^4-x^2+2\right)\)
\(4x^4+4x^3+5x^2+2x+1\)
\(=\left(4x^4+2x^3+2x^2\right)+\left(2x^3+x^2+x\right)+\left(2x^2+x+1\right)\)
\(=2x^2\left(2x^2+x+1\right)+x\left(2x^2+x+1\right)+\left(2x^2+x+1\right)\)
\(=\left(2x^2+x+1\right)^2\)
=\(\left(3x^2-4x-13-4x^2+9\right)\left(3x^2-4x-13+4x^2-9\right)-\left(x+2\right)^4\)
=\(\left(-x^2-4x-4\right)\left(7x^2-4x-22\right)-\)\(\left(x+2\right)^{^{ }2.2}\)
=\(-\left(x+2\right)^2\left(7x^2-4x-22\right)-\left(x+2\right)^2\left(x+2\right)^2\)
=\(-\left(x+2\right)^2\)\(\left(7x^2-4x-22-x^2-4x-4\right)\)
\(-\left(x+2\right)^2\)(\(6x^2-8x-26\))
\(3x^2+4x+x^2-4\\ =4x^2+4x-4\\ =4\left(x^2+x-1\right)\)