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Bài 1:
b: \(=\left(x-2y\right)\left(x+2y\right)+4\left(x+2y\right)\)
\(=\left(x+2y\right)\left(x-2y+4\right)\)
c: \(=\left(x+y-3\right)\left(x+y+3\right)\)
Bài 1:
a: \(3xy^2-12x=3x\left(y^2-4\right)=3x\left(y-2\right)\left(y+2\right)\)
b: \(x^2-4y^2+4x+8y\)
\(=\left(x-2y\right)\left(x+2y\right)+4\left(x+2y\right)\)
\(=\left(x+2y\right)\left(x-2y+4\right)\)
5A:
a: \(x^2+1-2x^2=1-x^2=\left(1-x\right)\left(1+x\right)\)
c: \(y^2-4x^2+4x-1=y^2-\left(2x-1\right)^2\)
=(y-2x+1)(y+2x-1)
b: \(x^2-y^2-5y+5x\)
=(x-y)(x+y)+5(x-y)
=(x-y)(x+y+5)
6A:
a: \(x^2-8x+7\)
\(=x^2-x-7x+7\)
=x(x-1)-7(x-1)
=(x-1)(x-7)
b: \(2x^2-5x+2\)
\(=2x^2-4x-x+2\)
=2x(x-2)-(x-2)
=(x-2)(2x-1)
c: \(x^3-5x^2+8x-4\)
\(=x^3-x^2-4x^2+4x+4x-4\)
\(=x^2\left(x-1\right)-4x\left(x-1\right)+4\left(x-1\right)=\left(x-1\right)\left(x^2-4x+4\right)=\left(x-1\right)\left(x-2\right)^2\)
2a) \(4x^2-1=\left(2x\right)^2-1^2=\left(2x+1\right)\left(2x-1\right)\)
b) \(x^2+16x+64=\left(x+8\right)^2\)
c) \(x^3-8y^3=x^3-\left(2y\right)^3\)
\(=\left(x-2y\right)\left(x^2+2xy+4y^2\right)\)
d) \(9x^2-12xy+4y^2=\left(3x-2y\right)^2\)
1) \(x^2-4y^2+4x+8y=\left(x-2y\right)\left(x+2y\right)+4\left(x+2y\right)=\left(x+2y\right)\left(x-2y+4\right)\)