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x2+4y2 x2-2y+1 -x2+4y2 -x2-4y2
(x+2y-3z)(x-2y-3z). (x-2y-3z)(x-2y+3z) (x+2y+3z)(x+2y-3z). (x+2y+3z)(x-2y-3z)
(x+4y)(x﹣4y) (x+2y)(x﹣2y) (x﹣4y)2 (x﹣2y)2
x2+6xy+9y2=(x+3y)2 2x2﹣4xy+9y2=(2x﹣3y)2 2x2﹣8y2=2(x+4y)(x﹣4y) x(x﹣y)+y(y﹣x)=(x﹣y)(x+y)
y(x+2)(x﹣2) y(x+4)(x﹣4) y(x2﹣4) y(x﹣2)2
y(x+2)(x﹣2) y(x+4)(x﹣4) y(x2﹣4) y(x﹣2)2
x2+4y2 x2﹣2y2+1 ﹣x2+4y2 ﹣x2﹣4y2
a2﹣b2=(a﹣b)2 x2+4y2=(x+2y)2 2﹣8a2=2(1+2a)(1﹣2a) x2﹣4y2=(x+4y)(x﹣4y)
-x2-y2 = -(x+y)(x-y) x2y+2xy+4y = y(x+2)2 -49x2+x2y2 = (xy+7x)(xy-7x) 16x2+4y2-16xy = 4(2x-y)2