a) \(-y^2+\dfrac{1}{9}\)
= \(-\left(y^2-\dfrac{1}{9}\right)\)
= \(-\left(y-\dfrac{1}{3}\right)\left(y+\dfrac{1}{3}\right)\)
b) \(4\left(x-3\right)^2-9\left(x+1\right)^2\)
= \(\left(2x-3\right)^2-\left(3x+3\right)^2\)
= \(\left(2x-3+3x+3\right)\left(2x-3-3x-3\right)\)
= \(5x\left(-x-6\right)\)
c) \(25x^2-20xy+4y^2\)
= \(\left(5x-2y\right)^2\)
d) \(-9x^2+12xy-4y^2\)
= \(-\left(9x^2-12xy+4y^2\right)\)
= \(-\left(3x-2y\right)^2\)
e) \(25x^2-\dfrac{1}{8}x^2y^2\)
= \(\left(5x-\dfrac{\sqrt{2}}{4}xy\right)\left(5x+\dfrac{\sqrt{2}}{4}xy\right)\)
f) \(9x^2+6x+1\)
= \(\left(3x+1\right)^2\)
okey! Vì you t sẽ chăm thêm 1 lần nữa!!!^^
\(a.-y^2+\dfrac{1}{9}=\left(\dfrac{1}{3}\right)^2-y^2=\left(\dfrac{1}{3}-y\right)\left(\dfrac{1}{3}+y\right)\)
\(b,4\left(x-3\right)^2-9\left(x+1\right)^2=\left[2\left(x-3\right)\right]^2-\left[3\left(x+1\right)\right]^2=\left(2x-6\right)^2-\left(3x+3\right)^2=\left(2x-6-3x-3\right)\left(2x-6+3x+3\right)=\left(-x-9\right)\left(5x-3\right)\)\(c,25x^2-20xy+4y^2=\left(5x-2y\right)^2\)
\(d,-9x^2+12xy-4y^2=-\left(3x-2y\right)^2\)
\(e,25x^2-\dfrac{1}{8}x^2y^2=\left(5x-\dfrac{\sqrt{2}}{4}xy\right)\left(5x+\dfrac{\sqrt{2}}{4}xy\right)\)\(f,9x^2+6x+1=\left(3x+1\right)^2\)
