Bài 11:
a: \(4x^2-1=\left(2x-1\right)\left(2x+1\right)\)
b: \(25x^2-\dfrac{9}{100}=\left(5x-\dfrac{3}{10}\right)\left(5x+\dfrac{3}{10}\right)\)
c: \(9x^2-\dfrac{1}{4}=\left(3x-\dfrac{1}{2}\right)\left(3x+\dfrac{1}{2}\right)\)
d: \(\left(x-y\right)^2-4=\left(x-y-2\right)\left(x-y+2\right)\)
Bài 1:
a: \(4x^2-12x+9=\left(2x-3\right)^2\)
b: \(4x^2+4x+1=\left(2x+1\right)^2\)
c: \(36x^2+12x+1=\left(6x+1\right)^2\)
d: \(9x^2-24xy+16y^2=\left(3x-4y\right)^2\)
e: \(\dfrac{x^2}{4}+2xy+4y^2=\left(\dfrac{1}{2}x+2y\right)\%2\)
f: \(-x^2+10x-25=-\left(x-5\right)^2\)
Bài 2:
a: \(-16x^4y^6-24x^5y^5-9x^6y^4\)
\(=-x^4y^4\left(16y^2+24xy+9x^2\right)\)
\(=-x^4y^4\left(4y+3x\right)^2\)
b: \(25x^2-20xy+4y^2=\left(5x-2y\right)^2\)
c: \(25x^4-10x^2y+y^2=\left(5x^2-y\right)^2\)
d: \(\left(3x-1\right)^2-16\)
\(=\left(3x-1-4\right)\left(3x-1+4\right)\)
\(=\left(3x-5\right)\left(3x+3\right)\)
\(=3\left(x+1\right)\left(3x-5\right)\)
e: \(\left(5x-4\right)^2-49x^2\)
\(=\left(5x-4-7x\right)\left(5x-4+7x\right)\)
\(=\left(-2x-4\right)\left(12x-4\right)\)
\(=-8\left(x+2\right)\left(3x-1\right)\)
f: \(\left(2x+5\right)^2-\left(x+9\right)^2\)
\(=\left(2x+5-x-9\right)\left(2x+5+x+9\right)\)
\(=\left(x-4\right)\left(3x+14\right)\)