ioioioiojug $(2x-\frac12)^2$,$(\frac13x-\frac12y)^2$,$(3x+1)(3x-1)$,$(x^2+\frac25y)(x^2-\frac25y)$,$.(\frac x2-y)(\frac x2+y)$,$.(\frac x2-2y)^2$,$.(\sqrt2x-y)^2$,$.(\frac32x+3y)^2$

Question

Accepted Answer

1. $(2x-\frac12)^2 = 4x^2 - 2x + \frac14$

2. $(\frac13x-\frac12y)^2 = \frac19x^2 - \frac13xy + \frac14y^2$

3. $(3x+1)(3x-1) = 9x^2 - 1$

4. $(x^2+\frac25y)(x^2-\frac25y) = x^4 - \frac{4}{25}y^2$

5. $(\frac x2-y)(\frac x2+y) = (\frac{x}{2})^2 - y^2 = \frac{x^2}{4} - y^2$

6. $(\frac x2-2y)^2 = (\frac{x}{2})^2 - 4y + 4y^2 = \frac{x^2}{4} - 4y + 4y^2$

7. $(\sqrt{2}x-y)^{​​​​​​​ ​}^{​​​​​​​ ​}^{​​​​​​​ ​}^{​​​​​​​ ​}^{​​​​​​​ ​}_{}$= $({\sqrt{​}}_{}{​}_{}{​}_{}{​}_{}{}_{}{}_{}{}_{}{}_{}{}_{}{}_{}{}_{}{}_{}\sqrt{}}_{}\sqrt{{}}_{}\sqrt{{}}_{}\sqrt{{}}_{}\sqrt{{}}_{}\sqrt{{}}_{}\sqrt{{}}_{})^{ ​​}= ( {\sqr{\sqr{\sqr{\sqr{\sqr{\sqr{\sqr{\sqr{\sqr{\sqr{\sqr{\sqr{\sqr{\sq...

8. $(\dfr32x+3y)^{ ​​}= (\dfr32)^{ }(\dfr32)x + (\dfr32)(3)y + (3)y)^{ }= (\dfr32)^{ }(\dfr32)x + (9)y + (9)y)^{ }= (\dfr32)^{ }(\dfr32)x + (18)y)$

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