korzystając ze wzorów skróconego mnożenia przekształć przdstawione wyrażenia:
a)(x+3y)²
b)(2x-7y)²
c)(3x-5y)(3x+5y)
d)(-x²-4)²
e)(-y²+3)²
f)(z²-9)(z²+9)
g)(x³-y²)²
h)(2x+3y³)²
i)(-2-z³)(-2+z³)
j)(x⁴-y)(x⁴+y)
k)(x⁵-6)²
l)(z⁶⁶+10)²
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a)(x+3y)²=![=x^{2}+6xy+9y^{2} =x^{2}+6xy+9y^{2}](https://tex.z-dn.net/?f=%3Dx%5E%7B2%7D%2B6xy%2B9y%5E%7B2%7D)
![= 4x^{2}-28xy+49y^{2} = 4x^{2}-28xy+49y^{2}](https://tex.z-dn.net/?f=+%3D+4x%5E%7B2%7D-28xy%2B49y%5E%7B2%7D)
![= 9x^{2}-25y^{2} = 9x^{2}-25y^{2}](https://tex.z-dn.net/?f=+%3D+9x%5E%7B2%7D-25y%5E%7B2%7D)
![= x^{4}+8x^{2}+16 = x^{4}+8x^{2}+16](https://tex.z-dn.net/?f=%3D+x%5E%7B4%7D%2B8x%5E%7B2%7D%2B16+)
![=y^{4}-6y^{2}+9 =y^{4}-6y^{2}+9](https://tex.z-dn.net/?f=+%3Dy%5E%7B4%7D-6y%5E%7B2%7D%2B9)
![za\ z^{2}\ podstwiam\ t\ \ (t-9)(t+9)\\ t^{2}-81\\ czyli\\ z^{4}-81 za\ z^{2}\ podstwiam\ t\ \ (t-9)(t+9)\\ t^{2}-81\\ czyli\\ z^{4}-81](https://tex.z-dn.net/?f=+za%5C++z%5E%7B2%7D%5C+podstwiam%5C+t%5C+%5C++%28t-9%29%28t%2B9%29%5C%5C+t%5E%7B2%7D-81%5C%5C+czyli%5C%5C+z%5E%7B4%7D-81)
![= x^{6}-2x^{3}y^{2}+y^{4} = x^{6}-2x^{3}y^{2}+y^{4}](https://tex.z-dn.net/?f=+%3D+x%5E%7B6%7D-2x%5E%7B3%7Dy%5E%7B2%7D%2By%5E%7B4%7D)
![= 4x^{2}+12xy^{3}+9y^{6} = 4x^{2}+12xy^{3}+9y^{6}](https://tex.z-dn.net/?f=+%3D+4x%5E%7B2%7D%2B12xy%5E%7B3%7D%2B9y%5E%7B6%7D)
![= -(2+z^{3})(-2+z^{3}) = - (z^{3}+2)(z^{3}-2)\\ =-(z^{6}-4)=z^{6}+4 = -(2+z^{3})(-2+z^{3}) = - (z^{3}+2)(z^{3}-2)\\ =-(z^{6}-4)=z^{6}+4](https://tex.z-dn.net/?f=+%3D+-%282%2Bz%5E%7B3%7D%29%28-2%2Bz%5E%7B3%7D%29+%3D+-+%28z%5E%7B3%7D%2B2%29%28z%5E%7B3%7D-2%29%5C%5C+%3D-%28z%5E%7B6%7D-4%29%3Dz%5E%7B6%7D%2B4)
![= x^{8}-y^{2} = x^{8}-y^{2}](https://tex.z-dn.net/?f=%3D+x%5E%7B8%7D-y%5E%7B2%7D)
![=x^10-12x^{5}+36 =x^10-12x^{5}+36](https://tex.z-dn.net/?f=%3Dx%5E10-12x%5E%7B5%7D%2B36)
![= z^{132}+20z^{66}+100 = z^{132}+20z^{66}+100](https://tex.z-dn.net/?f=+%3D+z%5E%7B132%7D%2B20z%5E%7B66%7D%2B100)
b)(2x-7y)²=
c)(3x-5y)(3x+5y) =
d)(-x²-4)² =
e)(-y²+3)² =
f)(z²-9)(z²+9) =
g)(x³-y²)² =
h)(2x+3y³)² =
i)(-2-z³)(-2+z³) =
j)(x⁴-y)(x⁴+y) =
k)(x⁵-6)² =
l)(z⁶⁶+10)² =